(i)[3]
Find the curve’s equation in terms of $a$ and $b$.
(ii)[5]
It is now stated that the curve has a stationary point at $(2, 3)$. Find the values of $a$ and $b$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve goes through $(0, 11)$ and is defined by an equation for which $\frac{dy}{dx} = ax^2 + bx - 4$, where $a$ and $b$ are constants.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Successful integration leading to $y=\tfrac16ax^3+\tfrac12bx^2-4x+c$.” …
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