(a)[5]
Find the exact gradient at $B$.
(b)[4]
Find the exact coordinates for $C$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram depicts the curve whose equation is $y = e^{-\frac{1}{2}x}(x^2 - 5x + 4)$. The curve meets the $x$-axis at the points $A$ and $B$, and reaches a maximum at the point $C$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Makes an attempt to apply the product rule in order to find the first derivative” …
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