(a)[5]
Determine an expression for $\frac{dy}{dx}$ and therefore find the coordinates of all the stationary points on the curve $y = f(x)$.
(b)[5]
Perform division of $4x^3 + 8x - 4$ by $(2x - 1)$, and hence determine $\int f(x)\,dx$.
Mathematics 9709 · AS & A Level · Integration
Determine an expression for $\frac{dy}{dx}$ and therefore find the coordinates of all the stationary points on the curve $y = f(x)$.
Perform division of $4x^3 + 8x - 4$ by $(2x - 1)$, and hence determine $\int f(x)\,dx$.
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate by using the quotient rule (or the product rule)” …