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## Homework Statement

Find y' using logarithmic differentiation if [tex]y=x^{sin(x)}[/tex]

## Homework Equations

## The Attempt at a Solution

[tex]lny=sin(x)ln(x)[/tex]

[tex]\frac{1}{y}(y')=sin(x)(\frac{1}{x})+ln(x)\cdot cos(x)[/tex]

[tex](y')=[sin(x)(\frac{1}{x})+ln(x)\cdot cos(x)]y[/tex]

Did I do this one properly?

Thanks in advance.