# What is the derivative of #(ln(x))^x#?

We can go by using chain rule and also the rule to derivate exponential functions.

Solving:

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The derivative of ( (ln(x))^x ) with respect to ( x ) is ( \frac{d}{dx}[(ln(x))^x] = (ln(x))^x \left(\frac{1}{x} + ln(ln(x))\right) ).

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