Level 3 Differentiation Walkthrough
2019 NCEA Level 3 Differentiation Question 1(b)
2019 Paper
Walkthrough overview
What this question practises
This 2019 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: Differentiating a logarithm and evaluating a rate at \(t=4\).
This is Question 1(b) from the 2019 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 differentiating a logarithm and evaluating a rate at \(t=4\). Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Keep logarithm domain restrictions and any inner-function factor visible throughout the working.