Level 3 Differentiation Walkthrough

2022 NCEA Level 3 Differentiation Question 3(c)

2022 Paper - Related rates for a bowl of water

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Walkthrough overview

What this question practises

This 2022 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.

Method: Related rates using volume and height.

This is Question 3(c) from the 2022 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 related rates using volume and height. Use the hints to plan the method, then repeat the question without hints and check each step.

Common mistake to avoid

Differentiate with respect to time consistently, then include the correct units and contextual interpretation.

Continue practising

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