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Calculus and Integration

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Applications of Differentiation

Applications of Differentiation

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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
Optimisation Problems
Trig Applications of Differentiation

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Tangents and Normals

Video Quiz 1

Tangent to a Curve (Polynomial Function) #1

Tangent to a Curve (Polynomial Function) #2

Tangent to a Curve (Polynomial Function) #3

Tangent to a Curve (Polynomial Function) #4

Normal to a Curve (Polynomial Function) #1

Normal to a Curve (Polynomial Function) #2

Tangent and Normal (Polynomial Function) #1

Log and Exponential Tangents and Normals

Video Quiz 1

Tangent to a Curve (Logarithmic Function) #1

Tangent to a Curve (Exponential Function) #1

Slope and Angle of Inclination of Tangent to a Curve (Exponential Function) #1

Normal to a Curve (Logarithmic Function) #1

Increasing and Decreasing Intervals

Video Quiz 1

Increasing & Decreasing Intervals (Sign Diagram) #1

Increasing & Decreasing Intervals (Sign Diagram) #2

Relative and Absolute Maxima and Minima

Video Quiz 1

Relative and Absolute Maxima and Minima from a Graph #1

Sketch a Curve and Identify Maxima and Minina #1

Stationary and Inflection Points

Video Quiz 1

Stationary and Inflection Points #1

Stationary and Inflection Points #2

Curve Sketching

Video Quiz 1 Video Quiz 2

Given a Function Sketch its Derivative Function #1

Sketch a Curve using First and Second Derivatives (Quadratic Function) #1

Sketch a Curve using First Derivative (Polynomial Function) #1

Sketch a Curve using First Derivative (Polynomial Function) #2 (Part 1)

Sketch a Curve using First Derivative (Polynomial Function) #2 (Part 2)

Sketch a Curve using First Derivative (Polynomial Function) #2 (Part 3)

Sketch a Curve using First and Second Derivatives (Rational Function) #1

Sketch a Curve using First and Second Derivatives (Polynomial Function) #1

Sketch a Curve using First and Second Derivatives (Reciprocal Function) #1

Sketch a Curve using First and Second Derivatives (Exponential Function) #1

Optimisation Problems

Video Quiz 1

Optimisation Problem #1

Optimisation Problem #2

Optimisation Problem #3

Optimisation Problem #4

Optimisation Problem #5

Trig Applications of Differentiation

Video Quiz 1

Trig Function: Slope of the Normal Line #1

Trig Function: Slope of the Tangent Line #1

Trig Function: Equation of the Tangent Line #1