(i)[1]
State the numerical value of $a$.
(ii)[4]
Find the numerical value of $b$.
(iii)[4]
Find the area enclosed by the shaded region.
(iv)[4]
The gradient, $\frac{dy}{dx}$, of the curve reaches a minimum value $m$. Find the value of $m$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve in the diagram is given by $y = x(x - 2)^2$. Its minimum point is $(a, 0)$, and the maximum point has $x$-coordinate $b$, where $a$ and $b$ are constants.