7. Differentiation

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7.01 Understanding the Gradient as Rate of Change

7.02 Finding dy/dx of Linear Functions

7.03 Finding the Gradient of a Curve

7.04 Differentiating Polynomials

7.05 Finding the Gradient of a Curve at a Point

7.06a Finding the equation of a Tangent to a Curve

7.06b Finding the equation of a Normal to a Curve

7.07 Function Notation for Differentiation

7.08 Increasing and Decreasing Functions and Stationary Points

7.09 Determining whether a Curve is Increasing or Decreasing

7.10 Finding Stationary Points

7.11 The Second Derivative: Maximums and Minimums

7.12 Using the Second Derivative to evaluate the types of Stationary Point

7.13 The Second Derivative in Function Notation

7.14 Optimisation: An Example