Variation 3 · answer guide
Inverse function — Product rule structure
Question
If where and , , compute .
This practice question was inspired by Question 14(e) in the 2021 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
- State the final answer clearly in the form the question requested..
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Same numerical answer without re-deriving the inverse rule.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2021 HSC Extension 1 paper Question 14(e)