Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The diagram depicts the curve $y = (3 - 2x)^3$ together with the tangent drawn at the point $(\frac{1}{2}, 8)$.
(i)[5]

Find the equation of this tangent, and present your answer in the form $y = mx + c$.

(ii)[6]

Find the area of the shaded part.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to obtain $\frac{dy}{dx}=[3(3-2x)^2]\times[-2]$

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