Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve has equation $y = 4\sqrt{x} + \frac{2}{\sqrt{x}}$.
(i)[3]

Find an expression for $\frac{dy}{dx}$.

(ii)[2]

A point travels along the curve so that the $x$-coordinate is rising at a constant rate of $0.12$ units per second. Determine the rate of change of the $y$-coordinate when $x = 4$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate differentiation of $y = 4\sqrt{x} + \frac{2}{\sqrt{x}}$

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