Year 12 · Mathematical Methods

Further differentiation and applications

Choose a subtopic to practise.

Subtopics

Polynomial calculus and rates in context.

Concavity, inflection and acceleration.

Build models, test stationary points and compare feasible endpoints.

Four linked problems drawn from this topic’s subtopics. 12 parts · untimed · answers and worked solutions at the end.

Combine differentiation rules and evaluate gradients.

Natural exponential derivatives and growth models.

Mixed trigonometric and polynomial functions, exact angles, product and quotient rules, second derivatives and tangents.

Four linked problems drawn from this topic’s subtopics. 12 parts · untimed · answers and worked solutions at the end.