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Methods2024 Exam 1 · Q1Tech-free3 marks

Product rule and derivative of a logarithm

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a.

Let $y = e^{x}\cos(3x)$ .

Find $\dfrac{dy}{dx}$ .

1 mark

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b.

Let $f(x) = \log_e\left(x^{3} - 3x + 2\right)$ .

Find $f'(3)$ .

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