- #1
iRaid
- 559
- 8
Homework Statement
Find dy/dx.
[itex]y=x^{lnx}[/itex]
Homework Equations
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 :?