Y2 Pure 9.1

Differentiating sin(x) and cos(x)

Differentiate sin(x) from first principles

+G1-18 (using limits)

Differentiate cos(x) from first principles

+G1-19 (using limits)

Differentiating sin(kx) and cos(kx)

Y2 Pure 9.3

Chain rule

Intro: chain rule

Examples of using the Chain Rule Part 1 (long method)

+G4-03 (short method)

Differentiating an inverse function

Y2 Pure 9.5

Quotient rule

Equations of normals

Examples of finding stationary points

Determining types of stationary points: example 2

Simplifying algebraic fractions

Examples of using the quotient rule

Choosing between rules

Gradient problems

Y2 Pure 9.7

Parametric differentiation

Intro: parametric differentiation

+G5-08 (examples)

Parametric differentiation and gradients

A tricky parametric differentiation problem

Y2 Pure 9.9

Using second derivatives

Convex & Concave /

Concave Up & Concave Down

Convexity & the second derivative

Finding where a curve is convex & concave

+G3-18 (examples)

Finding non-stationary points of inflection: example 3