Variation 2 · answer guide
Tangents and gradients — Same curve, different point
Question
For , find at and the tangent there.
This practice question was inspired by Question 12(c) 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.
Step by step
- State the final answer clearly in the form the question requested.; point ; tangent .
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Endpoint check of the same derivative formula.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2022 HSC Extension 1 paper Question 12(c)