Product Rule
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Question 1 of 4
1. Question
Find the derivative`y=(3x+4)(x-7)`- `y'=` (6x-17)
Hint
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Product Rule
$$\frac{dy}{dx}=\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$`y’=(dy)/dx``u’=``(du)/dx``v’=``(dv)/dx`First, find the derivative of `u` and `v`Derivative of `u`:`u` `=` `3x+4` `u’` `=` `3` Power Rule Derivative of `v`:`v` `=` `x-7` `v’` `=` `1` Power Rule Substitute the components into the product rule$$\frac{dy}{dx}$$ `=` $$\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$ `y’` `=` $$(\color{#9a00c7}{x-7}\cdot\color{#e65021}{3})+(\color{#00880A}{3x+4}\cdot\color{#004ec4}{1})$$ Substitute known values `y’` `=` `3x-21+3x+4` `y’` `=` `6x-17` Combine like terms `y’=6x-17` -
Question 2 of 4
2. Question
Find the derivative`y=x(2x-1)^6`Hint
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Product Rule
$$\frac{dy}{dx}=\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$`y’=(dy)/dx``u’=``(du)/dx``v’=``(dv)/dx`First, find the derivative of `u` and `v`Derivative of `u`:`u` `=` `x` `u’` `=` `1` Power Rule Derivative of `v`:`v` `=` `(2x-1)^6` `v’` `=` `12(2x-1)^5` Chain Rule Substitute the components into the product rule$$\frac{dy}{dx}$$ `=` $$\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$ `y’` `=` $$(\color{#9a00c7}{(2x-1)^6}\cdot\color{#e65021}{1})+(\color{#00880A}{x}\cdot\color{#004ec4}{12(2x-1)^5})$$ Substitute known values `y’` `=` `(2x-1)^6+12x(2x-1)^5` `y’` `=` `(2x-1)^5[(2x-1)+12x]` Factorize `y’` `=` `(2x-1)^5(14x-1)` Combine like terms `y’=(2x-1)^5(14x-1)` -
Question 3 of 4
3. Question
Find the derivative`y=4x(3x+1)^3`Hint
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Product Rule
$$\frac{dy}{dx}=\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$`y’=(dy)/dx``u’=``(du)/dx``v’=``(dv)/dx`First, find the derivative of `u` and `v`Derivative of `u`:`u` `=` `4x` `u’` `=` `4` Power Rule Derivative of `v`:`v` `=` `(3x+1)^3` `v’` `=` `9(3x+1)^2` Chain Rule Substitute the components into the product rule$$\frac{dy}{dx}$$ `=` $$\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$ `y’` `=` $$(\color{#9a00c7}{(3x+1)^3}\cdot\color{#e65021}{4})+(\color{#00880A}{4x}\cdot\color{#004ec4}{9(3x+1)^2})$$ Substitute known values `y’` `=` `4(3x+1)^3+36x(3x+1)^2` `y’=4(3x+1)^3+36x(3x+1)^2` -
Question 4 of 4
4. Question
Find the derivative`y=x^2(3x+2)^3`Hint
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Product Rule
$$\frac{dy}{dx}=\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$`y’=(dy)/dx``u’=``(du)/dx``v’=``(dv)/dx`First, find the derivative of `u` and `v`Derivative of `u`:`u` `=` `x^2` `u’` `=` `2x` Power Rule Derivative of `v`:`v` `=` `(3x+2)^3` `v’` `=` `9(3x+2)^2` Chain Rule Substitute the components into the product rule$$\frac{dy}{dx}$$ `=` $$\color{#9a00c7}{v}\color{#e65021}{\frac{du}{dx}}+\color{#00880A}{u}\color{#004ec4}{\frac{dv}{dx}}$$ `y’` `=` $$(\color{#9a00c7}{(3x+2)^3}\cdot\color{#e65021}{2x})+(\color{#00880A}{x^2}\cdot\color{#004ec4}{9(3x+2)^2})$$ Substitute known values `y’` `=` `2x(3x+2)^3+9x^2(3x+2)^2` `y’` `=` `x(3x+2)^2[2(3x+2)+9x]` Factorize `y’` `=` `(x(3x+2)^2)(6x+4+9x)` Distribute `y’` `=` `(x(3x+2)^2)(15x+4)` Combine like terms `y’=(x(3x+2)^2)(15x+4)`
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- Combinations of Transformations: Find Equation 3
- Simplify Square Roots 1
- Simplify Square Roots 2
- Simplify Square Roots 3
- Simplify Square Roots 4
- Simplify Radicals with Variables 1
- Simplify Radicals with Variables 2
- Simplify Radicals with Variables 3
- Rewriting Entire and Mixed Radicals 1
- Rewriting Entire and Mixed Radicals 2
- Add and Subtract Radical Expressions (Basic) 1
- Add and Subtract Radical Expressions (Basic) 2
- Add and Subtract Radical Expressions (Basic) 3
- Add and Subtract Radical Expressions 1
- Add and Subtract Radical Expressions 2
- Add and Subtract Radical Expressions 3
- Multiply Radical Expressions 1
- Multiply Radical Expressions 2
- Multiply Radical Expressions 3
- Multiply Radical Expressions 4
- Divide Radical Expressions 1
- Divide Radical Expressions 2
- Divide Radical Expressions 3
- Multiply and Divide Radical Expressions
- Simplify Radical Expressions using the Distributive Property 1
- Simplify Radical Expressions using the Distributive Property 2
- Simplify Radical Expressions using the Distributive Property 3
- Simplify Binomial Radical Expressions using the FOIL Method 1
- Simplify Binomial Radical Expressions using the FOIL Method 2
- Rationalizing the Denominator 1
- Rationalizing the Denominator 2
- Rationalizing the Denominator 3
- Rationalizing the Denominator 4
- Rationalizing the Denominator using Conjugates
- Simplify Square Roots 1
- Simplify Square Roots 2
- Simplify Square Roots 3
- Simplify Square Roots 4
- Simplify Radicals with Variables 1
- Simplify Radicals with Variables 2
- Simplify Radicals with Variables 3
- Rewriting Entire and Mixed Radicals 1
- Rewriting Entire and Mixed Radicals 2
- Add and Subtract Radical Expressions (Basic) 1
- Add and Subtract Radical Expressions (Basic) 2
- Add and Subtract Radical Expressions (Basic) 3
- Add and Subtract Radical Expressions 1
- Add and Subtract Radical Expressions 2
- Add and Subtract Radical Expressions 3
- Multiply Radical Expressions 1
- Multiply Radical Expressions 2
- Multiply Radical Expressions 3
- Multiply Radical Expressions 4
- Divide Radical Expressions 1
- Divide Radical Expressions 2
- Divide Radical Expressions 3
- Multiply and Divide Radical Expressions
- Simplify Radical Expressions using the Distributive Property 1
- Simplify Radical Expressions using the Distributive Property 2
- Simplify Radical Expressions using the Distributive Property 3
- Simplify Binomial Radical Expressions using the FOIL Method 1
- Simplify Binomial Radical Expressions using the FOIL Method 2
- Rationalizing the Denominator 1
- Rationalizing the Denominator 2
- Rationalizing the Denominator 3
- Rationalizing the Denominator 4
- Rationalizing the Denominator using Conjugates
- Add & Subtract Matrices 1
- Add & Subtract Matrices 2
- Add & Subtract Matrices 3
- Multiply Matrices 1
- Multiply Matrices 2
- Matrices: Multiplication Word Problems
- Determinant of a Matrix
- Inverse of a Matrix
- Matrices: Systems of Equations 1
- Matrices: Systems of Equations 2
- Gauss Jordan Elimination
- Cramer’s Rule
- Solve a System of Equations by Graphing
- Substitution Method 1
- Substitution Method 2
- Substitution Method 3
- Substitution Method 4
- Elimination Method 1
- Elimination Method 2
- Elimination Method 3
- Elimination Method 4
- Systems of Nonlinear Equations
- Systems of Equations Word Problems 1
- Systems of Equations Word Problems 2
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Solve a System of Equations by Graphing
- Substitution Method 1
- Substitution Method 2
- Substitution Method 3
- Substitution Method 4
- Elimination Method 1
- Elimination Method 2
- Elimination Method 3
- Elimination Method 4
- Systems of Nonlinear Equations
- Systems of Equations Word Problems 1
- Systems of Equations Word Problems 2
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Greatest Common Factor 1
- Greatest Common Factor 2
- Factor Expressions using GCF
- Factor Expressions 1
- Factor Expressions 2
- Factor Expressions with Negative Numbers
- Factor Difference of Two Squares 1
- Factor Difference of Two Squares 2
- Factor Difference of Two Squares 3
- Factor by Grouping
- Factor Difference of Two Squares (Harder) 1
- Factor Difference of Two Squares (Harder) 2
- Factor Difference of Two Squares (Harder) 3
- Factor Quadratics 1
- Factor Quadratics 2
- Factor Quadratics 3
- Factor Quadratics with Leading Coefficient more than 1 (1)
- Factor Quadratics with Leading Coefficient more than 1 (2)
- Factor Quadratics with Leading Coefficient more than 1 (3)
- Factor Quadratics (Complex)
- Solve Quadratics by Factoring 1
- Solve Quadratics by Factoring 2
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Combining Methods for Solving Quadratic Equations
- Convert Between Logarithmic and Exponent Form 1
- Convert Between Logarithmic and Exponent Form 2
- Evaluate Logarithms 1
- Evaluate Logarithms 2
- Evaluate Logarithms 3
- Expand Log Expressions
- Simplify Log Expressions 1
- Simplify Log Expressions 2
- Simplify Log Expressions 3
- Logarithmic Equations 1
- Logarithmic Equations 2
- Logarithmic Equations 3
- Change Of Base Formula
- Solving Exponential Equations Using Log Laws
- Simplify Roots of Negative Numbers 1
- Simplify Roots of Negative Numbers 2
- Powers of the Imaginary Unit 1
- Powers of the Imaginary Unit 2
- Solve Quadratic Equations with Complex Solutions 1
- Solve Quadratic Equations with Complex Solutions 2
- Equality of Complex Numbers
- Add and Subtract Complex Numbers 1
- Add and Subtract Complex Numbers 2
- Multiply Complex Numbers 1
- Multiply Complex Numbers 2
- Divide Complex Numbers
- Complex Numbers – Product of Linear Factors 1
- Complex Numbers – Product of Linear Factors 2
- Mixed Operations with Complex Numbers
- One Step Inequalities 1
- One Step Inequalities 2
- Two Step Inequalities
- Multi-Step Inequalities 1
- Multi-Step Inequalities 2
- Compound Inequalities 1
- Compound Inequalities 2
- Compound Inequalities 3
- Inequality Word Problems 1
- Inequality Word Problems 2
- One Step Inequalities 1
- One Step Inequalities 2
- Two Step Inequalities
- Multi-Step Inequalities 1
- Multi-Step Inequalities 2
- Compound Inequalities 1
- Compound Inequalities 2
- Compound Inequalities 3
- Inequality Word Problems 1
- Inequality Word Problems 2
- Absolute Value Inequalities
- Graph Linear Inequalities 1
- Graph Linear Inequalities 2
- Simplify Algebraic Expressions 1
- Simplify Algebraic Expressions 2
- Simplify Algebraic Expressions 3
- Substitution and Evaluating Algebraic Expressions
- Substitution and Evaluating Multi-Variable Algebraic Expressions
- Substitution and Evaluating Rational Algebraic Expressions
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 1
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 2
- Simplify Algebraic Expressions using the Distributive Property 1
- Simplify Algebraic Expressions using the Distributive Property 2
- Simplify Algebraic Expressions using the Distributive Property 3
- Write Algebraic Expressions from Diagrams
- Evaluate Algebraic Expressions Problems
- Combine Like Terms 1
- Combine Like Terms 2
- Combine Like Terms 3
- Simplify Algebraic Expressions 1
- Simplify Algebraic Expressions 2
- Simplify Algebraic Expressions 3
- Substitution and Evaluating Algebraic Expressions
- Substitution and Evaluating Multi-Variable Algebraic Expressions
- Substitution and Evaluating Rational Algebraic Expressions
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 1
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 2
- Simplify Algebraic Expressions using the Distributive Property 1
- Simplify Algebraic Expressions using the Distributive Property 2
- Simplify Algebraic Expressions using the Distributive Property 3
- Write Algebraic Expressions from Diagrams
- Evaluate Algebraic Expressions Problems
- Combine Like Terms 1
- Combine Like Terms 2
- Combine Like Terms 3
- Compass Bearings and True Bearings 1
- Compass Bearings and True Bearings 2
- Solving for Bearings
- Bearings from Opposite Direction
- Using Bearings to Find Distance 1
- Using Bearings to Find Distance 2
- Using Bearings to Find Distance 3
- Using Bearings and Distances to Find Angles
- Working with Radial Surveys 1
- Working with Radial Surveys 2
- Working with Radial Surveys 3
- Working with Radial Surveys 4
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Greatest Common Factor 1
- Greatest Common Factor 2
- Factor Expressions using GCF
- Factor Expressions 1
- Factor Expressions 2
- Factor Expressions with Negative Numbers
- Factor Difference of Two Squares 1
- Factor Difference of Two Squares 2
- Factor Difference of Two Squares 3
- Factor by Grouping
- Factor Difference of Two Squares (Harder) 1
- Factor Difference of Two Squares (Harder) 2
- Factor Difference of Two Squares (Harder) 3
- Factor Quadratics 1
- Factor Quadratics 2
- Factor Quadratics 3
- Factor Quadratics with Leading Coefficient more than 1 (1)
- Factor Quadratics with Leading Coefficient more than 1 (2)
- Factor Quadratics with Leading Coefficient more than 1 (3)
- Factor Quadratics (Complex)
- Convert Measurements (Length) 1
- Convert Measurements (Length) 2
- Convert Measurements (Volume) 1
- Convert Measurements (Volume) 2
- Convert Measurements (Mass) 1
- Convert Measurements (Mass) 2
- Add & Subtract Matrices 1
- Add & Subtract Matrices 2
- Add & Subtract Matrices 3
- Multiply Matrices 1
- Multiply Matrices 2
- Matrices: Multiplication Word Problems
- Determinant of a Matrix
- Inverse of a Matrix
- Matrices: Systems of Equations 1
- Matrices: Systems of Equations 2
- Gauss Jordan Elimination
- Cramer’s Rule
- Add and Subtract Negative Numbers on the Number Line 1
- Add and Subtract Negative Numbers on the Number Line 2
- Add and Subtract Negative Numbers on the Number Line 3
- Add and Subtract Negative Numbers on the Number Line 4
- Add and Subtract Negative Numbers 1
- Add and Subtract Negative Numbers 2
- Add and Subtract Negative Numbers 3
- Add and Subtract Negative Numbers 4
- Multiply and Divide Negative Numbers 1
- Multiply and Divide Negative Numbers 2
- Multiply and Divide Negative Numbers 3
- Negative Numbers: Order of Operations
- Negative Numbers with Variables 1
- Negative Numbers with Variables 2
- Negative Numbers with Variables 3
- Negative Numbers with Substitution 1
- Negative Numbers with Substitution 2
- Negative Numbers with Substitution 3
- Negative Numbers Word Problems
- Convert To and From Scientific Notation
- Multiply & Divide in Scientific Notation
- Scientific Notation Word Problems
- Find the Hypotenuse 1
- Find the Hypotenuse 2
- Find the Hypotenuse 3
- Find a Side 1
- Find a Side 2
- Find a Side 3
- Pythagoras Problems 1
- Pythagoras Problems 2
- Pythagoras Problems 3
- Pythagoras Mixed Review 1
- Pythagoras Mixed Review 2
- Pythagoras Mixed Review 3
- Pythagoras Mixed Review 4
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Ratios 1
- Ratios 2
- Ratios 3
- Ratios 4
- Proportions 1
- Proportions 2
- Dividing Quantities
- Rates 1
- Rates 2
- Rates 3
- Rates 4
- Scales 1
- Scales 2
- Scales 3
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Find Mean, Mode, Median and Range 1
- Find Mean, Mode, Median and Range 2
- Find Mean, Mode, Median and Range 3
- Create Frequency Tables & Graphs
- Interpret Frequency Tables 1
- Interpret Frequency Tables 2
- Create and Interpret Bar & Line Graphs (Histograms)
- Interpret Cumulative Frequency Tables and Charts 1
- Interpret Cumulative Frequency Tables and Charts 2
- Create Grouped Frequency Tables and Graphs
- Interpret Grouped Frequency Tables
- Create and Interpret Dot Plots (Line Plots) 1
- Create and Interpret Dot Plots (Line Plots) 2
- Finding the Interquartile Range 1
- Finding the Interquartile Range 2
- Create and Interpret Box & Whisker Plots 1
- Create and Interpret Box & Whisker Plots 2
- Create and Interpret Box & Whisker Plots 3
- Create and Interpret Box & Whisker Plots 4
- Create and Interpret Stem & Leaf Plots 1
- Create and Interpret Stem & Leaf Plots 2
- Create and Interpret Stem & Leaf Plots 3
- Create and Interpret Stem & Leaf Plots 4
- Mean and Standard Deviation
- The Normal Curve 1
- The Normal Curve 2
- The Normal Curve 3
- Z-Values (Z-Scores)
- Vertices and Edges
- Degrees 1
- Degrees 2
- Degrees 3
- Drawing a Network 1
- Drawing a Network 2
- Completing a Table from a Network Diagram
- Network from Maps and Plans
- Identify Paths and Cycles
- Eulerian Trails and Circuits 1
- Eulerian Trails and Circuits 2
- Identify Spanning Trees
- Minimum Spanning Trees 1
- Minimum Spanning Trees 2
- Shortest Path 1
- Shortest Path 2
- Convert Units of Time 1
- Convert Units of Time 2
- Convert Units of Time 3
- Add Units of Time
- Subtract Units of Time
- Convert 12 Hour Time to 24 Hour Time 1
- Convert 12 Hour Time to 24 Hour Time 2
- Convert 12 Hour Time to 24 Hour Time 3
- Convert 24 Hour Time to 12 Hour Time 1
- Convert 24 Hour Time to 12 Hour Time 2
- Add and Subtract Time Using the Calculator
- Time Difference and Longitudes 1
- Time Difference and Longitudes 2
- Time Difference and Longitudes 3
- International Time Zones 1
- International Time Zones 2
- Time and Travelling Word Problems 1
- Time and Travelling Word Problems 2
- Great Circle Distances
- FOIL Method – 3 Terms
- Division of Polynomials
- Remainder Theorem
- Factor Theorem
- Graphing Polynomials
- Graph Polynomials
- Solve a System of Equations by Graphing
- Substitution Method
- Elimination Method
- Systems of Nonlinear Equations
- Systems of Equations Word Problems
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Convert Radians and Degrees 1
- Convert Radians and Degrees 2
- Convert Radians and Degrees 3
- Radians and Arc Length (Radians)
- Areas of Sectors and Segments (Radians)
- The Unit Circle
- Unit Circle: Find Angles
- Unit Circle: Trig Ratios
- Unit Circle: Exact Values 1
- Unit Circle: Exact Values 2
- Unit Circle: Find Angles from Equations
- Intro to Trigonometric Ratios (SOH CAH TOA) 1
- Intro to Trigonometric Ratios (SOH CAH TOA) 2
- Round Angles (Degrees, Minutes, Seconds)
- Evaluate Trig Expressions using a Calculator 1
- Evaluate Trig Expressions using a Calculator 2
- Trig Ratios: Solving for a Side 1
- Trig Ratios: Solving for a Side 2
- Trig Ratios: Solving for an Angle
- Angles of Elevation and Depression
- Trig Ratios Word Problems: Solving for a Side
- Trig Ratios Word Problems: Solving for an Angle
- Area of Non-Right Angled Triangles 1
- Area of Non-Right Angled Triangles 2
- Law of Sines: Solving for a Side
- Law of Sines: Solving for an Angle
- Law of Cosines: Solving for a Side
- Law of Cosines: Solving for an Angle
- Trigonometry Word Problems 1
- Trigonometry Word Problems 2
- Trigonometry Mixed Review: Part 1 (1)
- Trigonometry Mixed Review: Part 1 (2)
- Trigonometry Mixed Review: Part 1 (3)
- Trigonometry Mixed Review: Part 1 (4)
- Trigonometry Mixed Review: Part 2 (1)
- Trigonometry Mixed Review: Part 2 (2)
- Trigonometry Mixed Review: Part 2 (3)
- Intro to Trigonometric Ratios (SOH CAH TOA) 1
- Intro to Trigonometric Ratios (SOH CAH TOA) 2
- Round Angles (Degrees, Minutes, Seconds)
- Evaluate Trig Expressions using a Calculator 1
- Evaluate Trig Expressions using a Calculator 2
- Trig Ratios: Solving for a Side 1
- Trig Ratios: Solving for a Side 2
- Trig Ratios: Solving for an Angle
- Angles of Elevation and Depression
- Trig Ratios Word Problems: Solving for a Side
- Trig Ratios Word Problems: Solving for an Angle
- Area of Non-Right Angled Triangles 1
- Area of Non-Right Angled Triangles 2
- Law of Sines: Solving for a Side
- Law of Sines: Solving for an Angle
- Law of Cosines: Solving for a Side
- Law of Cosines: Solving for an Angle
- Trigonometry Word Problems 1
- Trigonometry Word Problems 2
- Trigonometry Mixed Review: Part 1 (1)
- Trigonometry Mixed Review: Part 1 (2)
- Trigonometry Mixed Review: Part 1 (3)
- Trigonometry Mixed Review: Part 1 (4)
- Trigonometry Mixed Review: Part 2 (1)
- Trigonometry Mixed Review: Part 2 (2)
- Trigonometry Mixed Review: Part 2 (3)
- Intro to Trigonometric Ratios (SOH CAH TOA) 1
- Intro to Trigonometric Ratios (SOH CAH TOA) 2
- Round Angles (Degrees, Minutes, Seconds)
- Evaluate Trig Expressions using a Calculator 1
- Evaluate Trig Expressions using a Calculator 2
- Trig Ratios: Solving for a Side 1
- Trig Ratios: Solving for a Side 2
- Trig Ratios: Solving for an Angle
- Angles of Elevation and Depression
- Trig Ratios Word Problems: Solving for a Side
- Trig Ratios Word Problems: Solving for an Angle
- Area of Non-Right Angled Triangles 1
- Area of Non-Right Angled Triangles 2
- Law of Sines: Solving for a Side
- Law of Sines: Solving for an Angle
- Law of Cosines: Solving for a Side
- Law of Cosines: Solving for an Angle
- Trigonometry Word Problems 1
- Trigonometry Word Problems 2
- Trigonometry Mixed Review: Part 1 (1)
- Trigonometry Mixed Review: Part 1 (2)
- Trigonometry Mixed Review: Part 1 (3)
- Trigonometry Mixed Review: Part 1 (4)
- Trigonometry Mixed Review: Part 2 (1)
- Trigonometry Mixed Review: Part 2 (2)
- Trigonometry Mixed Review: Part 2 (3)
- Convert Radians and Degrees 1
- Convert Radians and Degrees 2
- Convert Radians and Degrees 3
- Radians and Arc Length (Radians)
- Areas of Sectors and Segments (Radians)
- The Unit Circle
- Unit Circle: Find Angles
- Unit Circle: Trig Ratios
- Unit Circle: Exact Values 1
- Unit Circle: Exact Values 2
- Unit Circle: Find Angles from Equations
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- Using Percentages with Proportions
- Find Original Amount Before Percent Change (Unitary Method)
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- Using Percentages with Proportions
- Find Original Amount Before Percent Change (Unitary Method)
- Derivative of Trigonometric Functions 1
- Derivative of Trigonometric Functions 2
- Derivative of Trigonometric Functions 3
- Trig Applications of Differentiation
- Integral of Trigonometric Functions 1
- Integral of Trigonometric Functions 2
- Trig Applications of Integration
- Graph Trigonometric Functions 1
- Graph Trigonometric Functions 2
- Graph Trigonometric Functions 3
- Graph Trigonometric Functions 4
- Derivative of Trigonometric Functions 1
- Derivative of Trigonometric Functions 2
- Derivative of Trigonometric Functions 3
- Trig Applications of Differentiation
- Integral of Trigonometric Functions 1
- Integral of Trigonometric Functions 1
- Trig Applications of Integration
- Graph Trigonometric Functions 1
- Graph Trigonometric Functions 2
- Graph Trigonometric Functions 3
- Graph Trigonometric Functions 4
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Integrals of Exponential Functions
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Indefinite Integrals of Logarithmic Functions 1
- Indefinite Integrals of Logarithmic Functions 2
- Direct Variation
- Inverse Variation 1
- Inverse Variation 2
- Indefinite Integrals 1
- Indefinite Integrals 2
- Indefinite Integrals 3
- Indefinite Integrals of Exponential Functions
- Indefinite Integrals of Logarithmic Functions 1
- Indefinite Integrals of Logarithmic Functions 2
- Indefinite Integrals of Trig Functions
- Definite Integrals
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Definite Integrals of Trig Functions
- Areas Between Curves and the Axis 1
- Areas Between Curves and the Axis 2
- Area Between Curves
- Volumes of Revolution 1
- Volumes of Revolution 2
- Volumes of Revolution 3
- Trapezoidal Rule
- Simpsons Rule
- Applications of Integration for Trig Functions
- One Step Inequalities 1
- One Step Inequalities 2
- Two Step Inequalities
- Multi-Step Inequalities 1
- Multi-Step Inequalities 2
- Compound Inequalities 1
- Compound Inequalities 2
- Compound Inequalities 3
- Inequality Word Problems 1
- Inequality Word Problems 2
- Absolute Value Inequalities
- Graph Linear Inequalities 1
- Graph Linear Inequalities 2
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Multiply Binomials
- Multiply Binomials – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Difference of Two Squares (Longer Expressions)
- Solving Exponential Equations
- Factorial Notation
- Fundamental Counting Principle 1
- Fundamental Counting Principle 2
- Fundamental Counting Principle 3
- Combinations 1
- Combinations 2
- Combinations with Restrictions 1
- Combinations with Restrictions 2
- Combinations with Probability
- Basic Permutations 1
- Basic Permutations 2
- Basic Permutations 3
- Permutation Problems 1
- Permutation Problems 2
- Permutations with Repetitions 1
- Permutations with Repetitions 2
- Permutations with Restrictions 1
- Permutations with Restrictions 2
- Permutations with Restrictions 3
- Permutations with Restrictions 4
- Distance Between Two Points 1
- Distance Between Two Points 2
- Distance Between Two Points 3
- Midpoint of a Line 1
- Midpoint of a Line 2
- Midpoint of a Line 3
- Slope of a Line 1
- Slope of a Line 2
- Slope Intercept Form: Graph an Equation 1
- Slope Intercept Form: Graph an Equation 2
- Slope Intercept Form: Write an Equation 1
- Graph Linear Inequalities 1
- Convert Standard Form and Slope Intercept Form 1
- Convert Standard Form and Slope Intercept Form 2
- Point Slope Form 1
- Point Slope Form 2
- Parallel Lines 1
- Parallel Lines 2
- Perpendicular Lines 1
- Perpendicular Lines 2
- Simplify Roots of Negative Numbers 1
- Simplify Roots of Negative Numbers 2
- Powers of the Imaginary Unit 1
- Powers of the Imaginary Unit 2
- Solve Quadratic Equations with Complex Solutions 1
- Solve Quadratic Equations with Complex Solutions 2
- Equality of Complex Numbers
- Add and Subtract Complex Numbers 1
- Add and Subtract Complex Numbers 2
- Multiply Complex Numbers 1
- Multiply Complex Numbers 2
- Divide Complex Numbers
- Complex Numbers – Product of Linear Factors 1
- Complex Numbers – Product of Linear Factors 2
- Mixed Operations with Complex Numbers
- Solve a System of Equations by Graphing
- Substitution Method 1
- Substitution Method 2
- Substitution Method 3
- Substitution Method 4
- Elimination Method 1
- Elimination Method 2
- Elimination Method 3
- Elimination Method 4
- Systems of Nonlinear Equations
- Systems of Equations Word Problems 1
- Systems of Equations Word Problems 2
- 3 Variable Systems of Equations – Substitution Method
- 3 Variable Systems of Equations – Elimination Method
- Identify Functions
- Function Notation
- Domain and Range 1
- Domain and Range 2
- Domain and Range 3
- Odd and Even Functions 1
- Odd and Even Functions 2
- Piecewise Functions
- Graphing the Intersection of Regions 1
- Graphing the Intersection of Regions 2
- Tangents and Normals
- Log and Exponential Tangents and Normals
- Increasing and Decreasing Intervals
- Relative and Absolute Maxima and Minima
- Stationary and Inflection Points
- Curve Sketching 1
- Curve Sketching 2
- Optimisation Problems
- Trig Applications of Differentiation
- Write an Equation for Circle Graphs
- Graph Circles in Standard Form
- Graph Circles in Expanded Form
- Graph Parabolas (Focus and Directrix) 1
- Graph Parabolas (Focus and Directrix) 2
- Graph Parabolas Given the Vertex, Focus and Directrix 1
- Graph Parabolas Given the Vertex, Focus and Directrix 2
- Graph Hyperbolas
- Write an Equation for Hyperbolas
- Graph Cubic Curves
- Write an Equation for Cubic Curves
- The Exponential Curve
- Write an Equation for Circle Graphs
- Graph Circles in Standard Form
- Graph Circles in Expanded Form
- Graph Parabolas (Focus and Directrix) 1
- Graph Parabolas (Focus and Directrix) 2
- Graph Parabolas Given the Vertex, Focus and Directrix 1
- Graph Parabolas Given the Vertex, Focus and Directrix 2
- Graph Hyperbolas
- Write an Equation for Hyperbolas
- Graph Cubic Curves
- Write an Equation for Cubic Curves
- The Exponential Curve
- Lowest Common Denominator
- Add & Subtract Rational Expressions
- Add & Subtract Rational Expressions with Unlike Denominators 1
- Add & Subtract Rational Expressions with Unlike Denominators 2
- Multiply & Divide Rational Expressions
- Lowest Common Denominator
- Add & Subtract Rational Expressions
- Add & Subtract Rational Expressions with Unlike Denominators 1
- Add & Subtract Rational Expressions with Unlike Denominators 2
- Multiply & Divide Rational Expressions
- Area of Shapes 1
- Area of Shapes 2
- Area of Shapes 3
- Area of Shapes 4
- Areas of Circles 1
- Areas of Circles 2
- Areas of a Shaded Region
- Area of Composite Shapes
- Area of Sectors
- Area of Shapes Mixed Review 1
- Area of Shapes Mixed Review 2
- Area of Shapes Mixed Review 3
- Area of Shapes 1
- Area of Shapes 2
- Area of Shapes 3
- Area of Shapes 4
- Areas of Circles 1
- Areas of Circles 2
- Areas of a Shaded Region
- Area of Composite Shapes
- Area of Sectors
- Area of Shapes Mixed Review 1
- Area of Shapes Mixed Review 2
- Area of Shapes Mixed Review 3
- Volume of Shapes 1
- Volume of Shapes 2
- Volume of Shapes 3
- Volume of Shapes 4
- Volume of Composite Shapes 1
- Volume of Composite Shapes 2
- Surface Area of Shapes 1
- Surface Area of Shapes 2
- Surface Area of Shapes 3
- Surface Area and Volume Mixed Review 1
- Surface Area and Volume Mixed Review 2
- Surface Area and Volume Mixed Review 3
- Surface Area and Volume Mixed Review 4
- Greatest Common Factor 1
- Greatest Common Factor 2
- Factor Expressions using GCF
- Factor Expressions 1
- Factor Expressions 2
- Factor Expressions with Negative Numbers
- Factor Difference of Two Squares 1
- Factor Difference of Two Squares 2
- Factor Difference of Two Squares 3
- Factor by Grouping
- Factor Difference of Two Squares (Harder) 1
- Factor Difference of Two Squares (Harder) 2
- Factor Difference of Two Squares (Harder) 3
- Factor Quadratics 1
- Factor Quadratics 2
- Factor Quadratics 3
- Factor Quadratics with Leading Coefficient more than 1 (1)
- Factor Quadratics with Leading Coefficient more than 1 (2)
- Factor Quadratics with Leading Coefficient more than 1 (3)
- Factor Quadratics (Complex)
- Simple Probability 1
- Simple Probability 2
- Simple Probability 3
- Simple Probability 4
- Complementary Probability 1
- Compound Events 1
- Compound Events 2
- Venn Diagrams (Non Mutually Exclusive)
- Independent Events 1
- Independent Events 2
- Dependent Events (Conditional Probability)
- Probability Tree (Independent) 1
- Probability Tree (Independent) 2
- Probability Tree (Dependent)
- Simple Probability 1
- Simple Probability 2
- Simple Probability 3
- Simple Probability 4
- Complementary Probability 1
- Compound Events 1
- Compound Events 2
- Venn Diagrams (Non Mutually Exclusive)
- Independent Events 1
- Independent Events 2
- Dependent Events (Conditional Probability)
- Find the Hypotenuse 1
- Find the Hypotenuse 2
- Find the Hypotenuse 3
- Find a Side 1
- Find a Side 2
- Find a Side 3
- Pythagoras’ Theorem Problems 1
- Pythagoras’ Theorem Problems 2
- Pythagoras’ Theorem Problems 3
- Pythagoras Theorem Mixed Review 1
- Pythagoras Theorem Mixed Review 2
- Pythagoras Theorem Mixed Review 3
- Pythagoras Theorem Mixed Review 4
- Distance Between Two Points 1
- Distance Between Two Points 2
- Distance Between Two Points 3
- Midpoint Formula 1
- Midpoint Formula 2
- Midpoint Formula 3
- Parallel Lines 1
- Parallel Lines 2
- Perpendicular Lines 1
- Perpendicular Lines 2
- Solve Quadratics by Factoring 1
- Solve Quadratics by Factoring 2
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Congruent Triangles 1
- Congruent Triangles 2
- Pythagoras’ Theorem Problems 1
- Pythagoras’ Theorem Problems 2
- Pythagoras’ Theorem Problems 3
- Solve Quadratics by Factoring
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Quadratics Word Problems 1
- Quadratics Word Problems 2
- Quadratic Identities
- Graphing Quadratics Using the Discriminant
- Positive and Negative Definite
- Applications of the Discriminant 1
- Applications of the Discriminant 2
- Combining Methods for Solving Quadratic Equations
- Solve Quadratics by Factoring
- The Quadratic Formula
- Completing the Square 1
- Completing the Square 2
- Intro to Quadratic Functions (Parabolas) 1
- Intro to Quadratic Functions (Parabolas) 2
- Intro to Quadratic Functions (Parabolas) 3
- Graph Quadratic Functions in Standard Form 1
- Graph Quadratic Functions in Standard Form 2
- Graph Quadratic Functions by Completing the Square
- Graph Quadratic Functions in Vertex Form
- Write a Quadratic Equation from the Graph
- Write a Quadratic Equation Given the Vertex and Another Point
- Quadratic Inequalities 1
- Quadratic Inequalities 2
- Quadratics Word Problems 1
- Quadratics Word Problems 2
- Quadratic Identities
- Graphing Quadratics Using the Discriminant
- Positive and Negative Definite
- Applications of the Discriminant 1
- Applications of the Discriminant 2
- Combining Methods for Solving Quadratic Equations
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Power Rule 1
- Power Rule 2
- Power Rule 3
- Power Rule 4
- Chain Rule 1
- Chain Rule 2
- Product Rule
- Quotient Rule
- Derivatives of Exponential Functions 1
- Derivatives of Exponential Functions 2
- Derivatives of Exponential Functions 3
- Derivatives of Trigonometric Functions 1
- Derivatives of Trigonometric Functions 2
- Derivatives of Trigonometric Functions 3
- Tangents and Normals
- Log and Exponential Tangents and Normals
- Increasing and Decreasing Intervals
- Critical Points (Maximum and Minimum Values)
- Stationary and Inflection Points
- Curve Sketching 1
- Curve Sketching 2
- Optimization
- Tangents and Normals
- Log and Exponential Tangents and Normals
- Increasing and Decreasing Intervals
- Critical Points (Maximum and Minimum Values)
- Stationary and Inflection Points
- Curve Sketching 1
- Curve Sketching 2
- Optimization
- Antiderivatives (Indefinite Integrals) 1
- Antiderivatives (Indefinite Integrals) 2
- Antiderivatives (Indefinite Integrals) 3
- Antiderivatives of Exponential Functions
- Antiderivatives of Logarithmic Functions 1
- Antiderivatives of Logarithmic Functions 2
- Antiderivatives of Trig Functions 1
- Antiderivatives of Trig Functions 2
- Definite Integrals
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Antiderivatives (Indefinite Integrals) 1
- Antiderivatives (Indefinite Integrals) 2
- Antiderivatives (Indefinite Integrals) 3
- Antiderivatives of Exponential Functions
- Antiderivatives of Logarithmic Functions 1
- Antiderivatives of Logarithmic Functions 2
- Antiderivatives of Trig Functions 1
- Antiderivatives of Trig Functions 2
- Definite Integrals
- Definite Integrals of Exponential Functions
- Definite Integrals of Logarithmic Functions
- Areas Between Curves and the Axis 1
- Areas Between Curves and the Axis 2
- Area Between Two Curves
- Volumes of Solids 1
- Volumes of Solids 2
- Volumes of Solids 3
- Areas Between Curves and the Axis 1
- Areas Between Curves and the Axis 2
- Area Between Two Curves
- Volumes of Solids 1
- Volumes of Solids 2
- Volumes of Solids 3
- Intro to Sequences
- Arithmetic Series (Sum)
- Geometric Series (Sum)
- Infinite Geometric Series