Level 3 Differentiation Walkthrough
2025 NCEA Level 3 Differentiation Question 1(b)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: Rewriting in power form and finding a rate of change.
This is Question 1(b) from the 2025 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 rewriting in power form and finding a rate of change. 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.