May/June 2026 Paper 22

2026 · 8 questions · 12 parts · 50 marks

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Context for question 8
Curve with the given parametric equations, rising steeply from the origin $O$ to a labelled maximum point $M$, then falling in a shallow curve to the right
The diagram shows the curve with parametric equations
for . The curve has a maximum point, .
8(a)Implicit Parametric Inverse DifferentiationMedium4 marks
Find the gradient of the curve at the point for which .
Gradient
8(b)Stationary Points OptimisationHard5 marks
Find the exact -coordinate of .
-coordinate of