Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

Find the $x$-coordinates of the stationary points for the curves below:
(i)[3]

For the curve $y = 4xe^{-3x}$.

(ii)[5]

For $y = \frac{4x^2}{x + 1}$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the product rule to reach an expression of the form $k_1 e^{-3x}+k_2 x e^{-3x}$

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