Level 3 Differentiation Walkthrough
2019 NCEA Level 3 Differentiation Question 3(e)
2019 Paper
Walkthrough overview
What this question practises
This 2019 walkthrough is part of AS91578 — Apply differentiation methods in solving problems.
Method: Using a tangent intercept to find the coordinate of \(P\).
This is Question 3(e) from the 2019 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.
Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91578.
Page updated .
Learning summary
Review the method, not only the answer
This walkthrough helps you practise using a tangent intercept to find the coordinate of \(P\). 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.