(a)[5]
Show that the value of $k$ is $1.5$.
(b)[4]
Find the coordinates of the two stationary points for $y = x^3 - 1.5x^2 + 1$. You must show all your working.
(c)[2]
Sketch the graph of $y = x^3 - 1.5x^2 + 1$.
Mathematics 0580 · IGCSE · Differentiation
Differentiation — practice question
The curve is given by $y = x^3 - kx^2 + 1$. At $x = 2$, its gradient is $6$.