Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The diagram illustrates the curve given by $y = 3x^2\ln\left(\frac{1}{6}x\right)$. This curve meets the $x$-axis at $P$ and has a turning point at $M$.
(i)[5]

Determine the gradient of the curve at point $P$.

(ii)[5]

Determine the exact coordinates of point $M$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use product rule to obtain first derivative

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