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differentiate the following function with respect to x (log x)^x

differentiate the following function with respect to x
(log x)^x

Grade:12

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
8 years ago
y=logx ^x
log(y)= x log(log(x))
now taking derivative
'1/y*dy/dx = log(logx)+x/xlog(x)= log(logx)-logx
dy/dx=y (log(logx)-logx)

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