(a)[4]
Obtain expressions for $\frac{dy}{dx}$ and $\frac{d^2 y}{dx^2}$.
(b)[3]
Find the coordinates of all stationary points on the curve.
(c)[2]
Determine the nature of every stationary point.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described by $y = (3 - 2x)^3 + 24x$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The first derivative is $\frac{dy}{dx}=3(3-2x)^2\times-2+24$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI