Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $\frac{dy}{dx} = \frac{1}{2}x + \frac{72}{x^4}$. It goes through the point $P(2, 8)$.
(a)[2]

Find the equation of the normal to the curve at $P$.

(b)[4]

Find the equation of the curve.

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