Level 2 Calculus Walkthrough

2025 NCEA Level 2 Calculus Question 3(d)

2025 Paper — Find where the function is decreasing

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Walkthrough overview

What this question practises

This 2025 walkthrough is part of AS91262 — Apply calculus methods in solving problems.

Method: Differentiating, factorising, classifying critical points, and finding where the function is decreasing.

This is Question 3(d) from the 2025 NCEA Level 2 Calculus paper for AS91262 — Apply calculus methods in solving problems. Use the guided hints to practise the method before revealing the full working.

Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91262.

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Learning summary

Review the method, not only the answer

This walkthrough helps you practise differentiating, factorising, classifying critical points, and finding where the function is decreasing. Use the hints to plan the method, then repeat the question without hints and check each step.

Common mistake to avoid

Check each step against the original condition, preserve signs and restrictions, and confirm that the final result answers the question asked.

Continue practising

← Question 3(c)