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” …