Variation 3 · answer guide
Inverse trigonometric functions — Exam derivative recomputed
Question
Find if .
This practice question was inspired by Question 11(e) in the 2024 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Step by step
- Set up the solution: use the restricted domain and range that make the inverse function single-valued.Chain rule: .
- State the final answer clearly in the form the question requested.Answer: .
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Matches NESA sample for 11(e).
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
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