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Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (12) · Pure Mathematics 1 - Question 16

Cambridge AS & A Level · Paper 1 (12) · Pure Mathematics 1

Question 16

The equation of a curve is such that $\dfrac{d^2y}{dx^2} = -\dfrac{24}{x^3}$. It is given that the curve has a stationary point at $(-2, 19)$.

**(b)** Find the $x$-coordinate of the other stationary point of the curve, and determine the nature of this stationary point.

(In part (a) you found $\dfrac{dy}{dx} = \dfrac{12}{x^2} - 3$.)
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