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- E2P17
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True or False: If both and are differentiable at , but then is not differentiable at . If True, why? If False, find .
This problem involves an understanding of the quotient rule. Also, you must simplify the answer.
false, (f/g)’= (f ‘ g – f g’)/g^2
(f/g)’ (0)= (f ‘(0) g(0) – f(0) g'(0))/g(0)^2
=f ‘(0) g(0)/g(0)^2=f ‘(0)/g(0)
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