Stationary Points and Optimisation NCEA practice questions

Skill overview

What these questions practise

The matched Level 2 and Level 3 methods include derivative sign, first- and second-derivative classification, graph interpretation, and optimisation in geometric or contextual domains.

Relevant standards: NCEA Level 2 Calculus — AS91262 · NCEA Level 3 Differentiation — AS91578

This collection contains 43 matching walkthroughs across 10 examination years.

The grouping is based on the method recorded for each walkthrough. Use the linked NZQA standard and paper material for authoritative wording, diagrams, and assessment information.

Before you start

Common mistakes in these methods

• Solving the derivative condition finds a candidate; use the original function when a coordinate is also required.
• Do not label a maximum, minimum, or stationary inflection without the sign or derivative evidence requested by the question.
• Check the model's domain and interpret the admissible optimum in context rather than reporting every algebraic candidate.

Related practice

Stationary Points and Optimisation questions from different years

Open a question for hints and a progressive worked solution, or use the standard and paper links to return to its assessment context.

Keep practising

Related skill collections