(a)[4]
Find, using calculation, the $x$-coordinates of $B$ and $C$.
(b)[2]
Show that $B$ is a stationary point for the curve.
(c)[6]
Find the area of the shaded part.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram displays a curve given by $y = 4x^2 - 2x$ for $x \geq 0$, together with a straight line given by $y = 3 - x$. The curve meets the $x$-axis at $A\,(4, 0)$ and intersects the line at $B$ and $C$.