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Math Help - Simple log differentiation

  1. #1
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    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.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by 3deltat View Post
    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?
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  3. #3
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    ahhhh i know what i did. I forgot that the sinx and ln x were multiplying eachother. I know what i did wrong. Thanks.
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