Level 3 Differentiation Walkthrough
2016 NCEA Level 3 Differentiation Question 1(d)
2016 Paper
Walkthrough overview
What this question practises
This 2016 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: Perpendicular tangent gradients on a parabola.
This is Question 1(d) from the 2016 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 perpendicular tangent gradients on a parabola. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Use the derivative for the gradient and the original curve for the point before forming the tangent equation.