# Math Help - Simple log differentiation

1. ## Simple log differentiation

Just confused on how to work this out. If you could show, I'd appreciate it

f(x)=x^sin(x)

I'm kicking myself rightnow for not seeing how to do it right.

2. Originally Posted by 3deltat
Just confused on how to work this out. If you could show, I'd appreciate it

f(x)=x^sin(x)

I'm kicking myself rightnow for not seeing how to do it right.
from the title of your post i suppose you want to do this using logarithmic differentiation

in that case, i'll start you off

Let $y = x^{\sin x}$

$\Rightarrow \ln y = \ln x^{\sin x}$

$\Rightarrow \ln y = \sin x \ln x$

now differentiate implicitly. note you will need the product rule for the right hand side

can you continue?

3. ahhhh i know what i did. I forgot that the sinx and ln x were multiplying eachother. I know what i did wrong. Thanks.