Level 3 Differentiation Walkthrough
2023 NCEA Level 3 Differentiation Question 2(d)
2023 Paper
Walkthrough overview
What this question practises
This 2023 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: Second derivatives and finding a logarithmic point of inflection.
This is Question 2(d) from the 2023 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 second derivatives and finding a logarithmic point of inflection. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
A zero second derivative alone is not enough; check the required change in concavity or other supporting evidence.