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Methods2023 Exam 1 · Q1Tech-free4 marks

Quotient and product rule derivatives

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a.

Let $y = \dfrac{x^2 - x}{e^x}$ .

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

2 marks

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b.

Let $f(x) = \sin(x)e^{2x}$ .

Find $f'\left(\dfrac{\pi}{4}\right)$ .

2 marks

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