Practice variation 2 of 3
Inverse function — Product of slopes on y=x
Your question
At a fixed-point intersection with slope for , the product of the two tangent slopes is
This practice question was inspired by Question 9 in the 2022 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?