Problem

[Power Rule] Assume that (ex)′ = ex for x ∈ R and (log x)′ = 1/x forx > 0. Use xα := eα...

[Power Rule] Assume that (ex)′ = ex for xR and (log x)′ = 1/x forx > 0. Use xα := eαlog x to prove that (xα)′ = αxα−1 for all x > 0 and all αR.

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Solutions For Problems in Chapter 4.2