Differentiation

The concept (and basic properties) of limits and derivatives

Power rule, chain rule, product rule, quotient rule, derivatives of ex, ax, loga​(x), trigonometric, and inverse trigonometric functions

Definitions of tangent and normal, finding tangent and normal lines to a function

Increasing and decreasing intervals, stationary points (maxima and minima), and optimisation

Definition of the second derivative, concavity, inflexion points

Taking the nth derivative, inductive proofs with the nth derivative