Year 12 · Mathematical Methods
Applications of Differential Calculus
Choose a subtopic, explore its examples and practise with feedback.
Choose a subtopic.
Explore applications of differential calculus for Year 12. Each subtopic has sample questions and worked answers; choose the skill you want to practise.
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Rates, tangents and normals
Polynomial calculus and rates in context.
Examples, answers and practiceSecond derivatives and curve shape
Concavity, inflection and acceleration.
Examples, answers and practiceConstrained optimisation
Build models, test stationary points and compare feasible endpoints.
Examples, answers and practiceExponential equations with logarithms
Solve growth and decay equations and interpret solutions.
Examples, answers and practiceTopic Review
Four linked problems drawn from this topic’s subtopics. 12 parts · untimed · answers and worked solutions at the end.
Examples, answers and practice