(a)[2]
Differentiate the expression $4x^3 - x^4$.
(b)[3]
Find the coordinates for $B$.
(c)[3]
Find the gradient at the point $A$ on the graph.
Mathematics 0580 · IGCSE · Differentiation
Differentiation — practice question
The diagram gives a sketch of the graph of $y = 4x^3 - x^4$. It cuts the $x$-axis at the origin $O$ and again at the point $A$. Point $B$ is a maximum point.