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Math Help - general power rule

  1. #1
    Member purplec16's Avatar
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    general power rule

    Using the general power rule to find the derivative of the function

    f(x)= {({x}^{2 }-9 })^{\frac{2}{3 }  }


    in this case do they mean the chain rule...if not then i'm not sure how to expand the function
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  2. #2
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    in order to use the chain rule, you will have to invoke the power rule as well. you have: (something)^(a power).
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  3. #3
    Super Member Quacky's Avatar
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    Quote Originally Posted by purplec16 View Post
    Using the general power rule to find the derivative of the function

    f(x)= {({x}^{2 }-9 })^{\frac{2}{3 }  }


    in this case do they mean the chain rule...if not then i'm not sure how to expand the function
    The general power rule states that for any function of the form [g(x)]^n, the derivative will be:
    n[g'(x)][g(x)^{n-1}]
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