A curve has a stationary point at $(2, -10)$ and its second derivative is $\frac{d^2y}{dx^2} = 6x$.
(a)[3]
Find $\frac{dy}{dx}$ for the curve.
(b)[3]
Find the equation for the curve.
(c)[3]
Find the coordinates of the other stationary point and identify its nature.
(d)[2]
Find the equation of the tangent to the curve at the point where it crosses the $y$-axis.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate the expression to give $\frac{dy}{dx}=3x^2+c$” …