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Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (13) · Pure Mathematics 1 - Question 16

Cambridge AS & A Level · Paper 1 (13) · Pure Mathematics 1

Question 16

A curve $C$ has equation $y = \dfrac{9}{2x - 5} + 2x - 5$.

**(b)** (In part (a) you found that the stationary points are $(1, -6)$ and $(4, 6)$.)

Find $\dfrac{d^2y}{dx^2}$ and hence determine the nature of each stationary point.
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