(i)[2]
Determine $\frac{d^2y}{dx^2}$.
(ii)[2]
Check that the curve has a stationary point when $x = -1$ and identify its nature.
(iii)[5]
The stationary point on the curve is now stated to be $(-1, 5)$. Determine the equation of the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by $\frac{dy}{dx} = 2(3x + 4)^{\tfrac{3}{2}} - 6x - 8$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Second derivative correctly given as $f''(x) = 9(3x+4)^2 - 6” …
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