Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve has equation $y = 2 + \sqrt{25 - x^2}$.
(main)[5]

Determine the coordinates of the point on the curve where the gradient equals $\frac{4}{3}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to obtain $\dfrac{dy}{dx}=[2(25-x^2)^{-\frac{1}{2}}][-2x]$

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