Asked by Morris
Compute f'(e) where f(x)=3^(xlnx)
Answers
Answered by
Reiny
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))
= ln3(1 + lnx)(3^(xlnx))
so f'(e) = ln3(1+lne)(3^(elne))
= ln3(2)(3^(e))
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