(a)[5]
Find an expression for $\frac{dy}{dx}$ and then determine the coordinates of every stationary point 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 · Differentiation
Differentiation — practice question
The curve is defined by $y = f(x)$, with $f(x) = \dfrac{4x^3 + 8x - 4}{2x - 1}$.
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