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posted by Morris on Monday, May 2, 2011 at 3:44pm.

Compute f'(e) where f(x)=3^(xlnx)

f'(x) = ln3(x(1/x) + lnx)(3^(xlnx)) = ln3(1 + lnx)(3^(xlnx)) so f'(e) = ln3(1+lne)(3^(elne)) = ln3(2)(3^(e))

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