Practice variation 2 of 3
Inverse function — Derivative numerator analysis
Your question
Show that has the same sign as for , and deduce the values of for which on .
This practice question was inspired by Question 14(b) 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.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?