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

Types of related rates, implicit differentiation

A rule for evaluating limits of the form 0/0 or infinity/infinity