(i)[2]
Determine $\frac{dy}{dx}$ and $\frac{d^2y}{dx^2}$.
(ii)[5]
Determine the coordinates of the maximum point $A$ and the minimum point $B$ on the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by $y = \frac{1}{x - 3} + x$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “First derivative correct: $\frac{dy}{dx}=-\frac{1}{(x-3)^2}+1$” …
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