(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find dy/dx.

[itex]y=x^{lnx}[/itex]

2. Relevant equations

3. The attempt at a solution

[itex]ln y= ln x^{ln x}[/itex]

[itex]ln y= (ln x)(ln x)[/itex]

Taking the derivative now:

[itex]\frac{1}{y}y'= (\frac{1}{x})(\frac{1}{x})[/itex]

[itex]\frac{1}{y}y'= (\frac{1}{x})^2[/itex]

Multiply by y:

[itex]y'= (\frac{x^{lnx}}{x^2})[/itex]

But it's not the right answer :?

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# Homework Help: Dy/dx exponential function

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