Level 3 Differentiation Walkthrough
2022 NCEA Level 3 Differentiation Question 1(c)
2022 Paper - Normal line and x-intercept
Walkthrough overview
What this question practises
This 2022 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: The normal line and its x-intercept.
This is Question 1(c) from the 2022 NCEA Level 3 Differentiation paper for AS91578 — Apply differentiation methods in solving problems. Use the guided hints to practise the method before revealing the full working.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise the normal line and its x-intercept. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
A normal gradient is the negative reciprocal of the tangent gradient, not simply its negative.