(a) Prove that if f(x) = xm / n for some m, n E N, then y...

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(a) Prove that if f(x) = xm / n for some m, n E N, then y = f(x) is differentiable and satisfies nyn-ly' = mxm - l for every x E (0,00).

(b) [POWER RULE] Prove that xq is differentiable on (0,00) for every q E Q and (xq )' = qxq- 1 .

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 07:09 AM

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(a) Prove that if f(x) = xm / n for some m, n E N, then y...

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An Introduction To Analysis

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