G3: Gradients

From the DfE Mathematics AS and A-Level Content (LINK):

PLAYLIST

Gradients of Functions

G3-01 [Gradients: Gradients of Functions]

Tangents and Normals

G3-02 [Gradients: Introducing Tangents and Normals]

G3-03 [Gradients: Equations of Tangents]

G3-04 Gradients: Equations of Tangents

G3-05 [Gradients: Equations of Normals]

G3-06 Gradients: Equations of Normals

Stationary Points

G3-07 [Gradients: Introducing Stationary Points]

G3-08 [Gradients: Examples of Finding Stationary Points]

G3-09 Gradients: Examples of Finding Stationary Points

Increasing and Decreasing

G3-10 [Gradients: Where Functions are Increasing and Decreasing]

The Second Derivative Test

G3-11 [Gradients: The Second Derivative Test Part 1]

G3-12 Gradients: The Second Derivative Test Part 2

Types of Stationary Point

G3-13 [Gradients: Examples of Determining Types of Stationary Points Part 1]

G3-14 [Gradients: Examples of Determining Types of Stationary Points Part 2]

G3-15 Gradients: Determining Types of Stationary Points

Convex and Concave

G3-16 Gradients: Finding where a Curve is Convex & Concave

G3-17 Gradients: Examples of Convex & Concave Curves

Points of Inflection

G3-18 Gradients: Finding Non-Stationary Points of Inflection Example 1

G3-19 Gradients: Finding Non-Stationary Points of Inflection Example 2

G3-20 Gradients: Finding Non-Stationary Points of Inflection Example 3

G3-21 Gradients: Finding Non-Stationary Points of Inflection Example 4 (Important)

Points of Inflection of the Normal Distribution

G3-22 Gradients: Points of Inflection of the Standard Normal Distribution

G3-23 Gradients: Points of Inflection of the Normal Distribution

Optimisation

G3-24 [Optimisation: Rectangular Fence Problem]

G3-25 [Optimisation: Maximising Volume of a Box]

G3-26 [Optimisation: Minimising Surface Area of a Box]

G3-27 [Optimisation: Maximising Volume of a Prism]