(a)[3]
Find the numerical value of $a$.
(b)[5]
Find the exact area enclosed by the shaded region.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by $y=4x^{\frac{1}{2}}-x$. It reaches a maximum when $x=a$ and intersects the $x$-axis at $(b,0)$, where $b>0$. The shaded area is enclosed by the curve, the line $x=a$ and the $x$-axis (see diagram).