Question #1912

Use logarithmic differentiation to find the derivative of the function.
y = x^ln(x)

Expert's answer

xlnx = e ln(x^(ln(x)) = e lnx lnx

y' = ( e lnx lnx )' = e lnx lnx *2 lnx * 1/x =2 xlnx-1 * lnx

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