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Math Help - Finding a derivative

  1. #1
    Newbie pocketasian's Avatar
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    Finding a derivative

    Hello, how do I find dy/dx of

    Please work it out for me to see rather than just give an answer. Thanks!
    And also, since I'm still trying to figure out LaTex, will you show me how to display this equation using this coding?
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  2. #2
    MHF Contributor
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    Use the derivative for y=a^x and use the chain rule for the index.
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  3. #3
    Newbie pocketasian's Avatar
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    Quote Originally Posted by Archie Meade View Post
    Use the derivative for y=a^x and use the chain rule for the index.
    So would it be
    2x ln10 10^[(x^2)-1] ?
    Please excuse my lack of coding.
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  4. #4
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    The ln10 will be a denominator, otherwise yes.
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  5. #5
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    Quote Originally Posted by Archie Meade View Post
    The ln10 will be a denominator, otherwise yes.
    his derivative is correct.

    \frac{d}{dx} (a^u) = a^u \cdot \ln{a} \cdot \frac{du}{dx}


    \int a^u \, du = \frac{a^u}{\ln{a}} + C
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  6. #6
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    yes!
    i accidentally gave the version from the integral.
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