MethodsOriginal practiceTech-free5 marks

Product rule and a stationary point

Let $f : \mathbb{R} \to \mathbb{R}$ , $f(x) = xe^{2x}$ .

Find $f'(x)$ .

1 mark

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Show that $f''(x) = 4e^{2x}(x + 1)$ .

2 marks

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Find the coordinates of the stationary point of the graph of $y = f(x)$ .

2 marks

Hints, answer checking and worked solutions come with a Season Pass.