| Exam Board | OCR |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2015 |
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| Session | June |
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| Topic | Standard Integrals and Reverse Chain Rule |
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5 A curve has an equation which satisfies \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } = 3 x ^ { - \frac { 1 } { 2 } }\) for all positive values of \(x\). The point \(P ( 4,1 )\) lies on the curve, and the gradient of the curve at \(P\) is 5 . Find the equation of the curve.