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I'm not sure how to go about this problem.

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1 Answer

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Use the quotient rule.

$$g'(x) = \frac{f(x) \cdot (5x)' - f'(x) \cdot 5x}{(f(x))^2}$$

This gives you

$$g'(3) = \frac{5f(3) - 15f'(3)}{(f(3))^2} = \frac{20 - 75}{16}.$$

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