Level 3 Differentiation Walkthrough

2024 NCEA Level 3 Differentiation Question 3(a)

2024 Paper

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Walkthrough overview

What this question practises

This 2024 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.

Method: Product rule with \(\sqrt{x}\) and a trig chain rule.

This is Question 3(a) from the 2024 NCEA Level 3 Differentiation paper for AS91578 — Apply differentiation methods in solving problems. Use the guided hints to practise the method before revealing the full working.

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Learning summary

Review the method, not only the answer

This walkthrough helps you practise product rule with \(\sqrt{x}\) and a trig chain rule. Use the hints to plan the method, then repeat the question without hints and check each step.

Common mistake to avoid

Do not stop after differentiating the outside function; include the derivative of the inside function as a factor.

Continue practising

← Question 2(e) Question 3(b) →