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Solve the following.
Differentiate y = xˣ with respect to x.
Differentiate $y = x^x$ with respect to $x$.
Answer
Answer
Differentiating: x^x
Take logarithms: $\log y=x\log x$.
Differentiate: $\frac{1}{y}\frac{dy}{dx}=\log x+1$.
Final answer: $x^x(1 + \log x)$