9709 · topic questions
Differentiation
5 past-paper questions on Differentiation
Let f(x) = 2e^(2x) / (e^(2x)-3eˣ+2). Find f'(x) and hence find the exact coordinates of the stationary point of the curve with…
Practise the full question →The parametric equations of a curve are x = 3 sin 2t, y = tan t + cot t, for 0 < t < 1/2 π. Show that dy/dx = -2/(3 sin²2t)
Practise the full question →A curve has equation x²lny+y² + 4x = 9. Find the gradient of the curve at the point (2, 1).
Practise the full question →The diagram shows the curve y = √x sin 2x for 0 ≤ x ≤ π/2. The curve has a maximum point at M, where x = a. Show that tan 2a =…
Practise the full question →By writing y = sec³θ as (cosθ)⁻³, show that dy/dθ = 3 sinθ sec⁴θ.
Practise the full question →
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Differentiation (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Differentiation. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Differentiation questions are there for 9709?
- This page collects 5 recent Cambridge Mathematics (9709) past-paper questions tagged to Differentiation. Each links straight to instant marking against the official 9709 scheme.
- How are Differentiation answers marked?
- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Differentiation first?
- Start with the free Mathematics lesson on Differentiation, then come back and drill past-paper questions under timed conditions.