Question

log x power x differentiate​

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

Using the power property for logarithms, we obtain: ΔyΔx=1xloga(1+1n)n. Supposing that Δx→0 (in this case n→∞), we find the limit of the ratio of the increments, i.e. the derivative of the logarithmic function: limΔx→0ΔyΔx=limn→∞[1xloga(1+1n)n]=1xloga[limn→∞(1+1n)n].