9709 · topic questions
Differentiation
12 past-paper questions on Differentiation
A triangle is bounded by the y-axis, the normal to the curve at the point where x = 1 and the tangent to the curve at the point…
Practise the full question →Points A and B on the curve have x-coordinates 0.25 and 1 respectively. For a different value of k, the tangents to the curve at…
Practise the full question →A particle moves in a straight line, starting from a point O. The velocity of the particle at time t s after leaving O is v ms⁻¹.…
Practise the full question →A function is defined by f(x) = 4/x³ + 3/x + 2 for x ≠ 0. The graph of y = f(x) is shown in the diagram. Find the set of values…
Practise the full question →The diagram shows the curve y = 2sinx√2+cosx, for 0 ≤ x ≤ 2π, and its minimum point M, where x = a. Find the value of a correct…
Practise the full question →The diagram shows the curve with equation y = √(2x³+10). Find the equation of the tangent to the curve at the point where x = 3.…
Practise the full question →(b) Find the coordinates of the stationary points of the curve and determine their nature.
Practise the full question →A curve has equation y = 2x + 12/x². Find the equation of the tangent to the curve at the point (−2, -1). Give your answer in the…
Practise the full question →A curve C has equation y = 9/(2x-5) + 2x - 5. Find the coordinates of the two stationary points.
Practise the full question →The diagram shows part of the curve with equation y = 12/√(2x+1). The point A on the curve has coordinates (7/2, 6). Find the…
Practise the full question →The equation of a curve is y = 4+5x+6x² – 3x³. Find the set of values of x for which y decreases as x increases.
Practise the full question →The curve y = x² - a/x has a stationary point at (-3, b). Find the values of the constants a and b.
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 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Differentiation. Each links straight to instant marking against the official 9709 scheme.
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- 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.