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Methods2024 NHT Exam 1 · Q1Tech-free4 marks

Product and quotient rule derivatives

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a.

Let $y = xe^{x^2+1}$ .

Find and factorise $\frac{dy}{dx}$ .

2 marks

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b.

Let $f(x) = \frac{x^3}{\log_e(x)}$ .

Evaluate $f'(x)$ at $x = e$ .

2 marks

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