Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is described by the differential equation $\frac{dy}{dx} = \frac{6}{\sqrt{3x - 2}}$, and it goes through the point $P(2, 11)$.
(i)[3]

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

(ii)[4]

Find the equation for the curve.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $m_1m_2=-1$ to determine the gradient of the normal.

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