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9709 P12 - Mar 2025 - Q9 - 9 marks
9748

A curve has \[\frac{d^2y}{dx^2}=\frac6{x^4}-\frac5{x^3},\] and a stationary point at \((1/2,9)\).

(a) Determine whether this is a maximum or minimum, using the second derivative. [2]

(b) Find the curve equation. [7]

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