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Math Help - Derivatives

  1. #1
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    Derivatives

    Just wanna check if my answer is correct!

    Find the first n second derivatives of the function: f(x)=x^3(5x^2+3)^2

    f(x)=x^3(5x^2+3)^2

    f^1= 3(x^2)(5(2x)+3)^2
    =(3x^2)(10x + 3)^2
    =(3x^2)(100x + 10 + 30x + 9)
    =(3x^2)(130x + 39)
    =130^3 + 117
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  2. #2
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    Quote Originally Posted by geeko View Post
    Just wanna check if my answer is correct!

    Find the first n second derivatives of the function: f(x)=x^3(5x^2+3)^2

    f(x)=x^3(5x^2+3)^2

    f^1= 3(x^2)(5(2x)+3)^2
    =(3x^2)(10x + 3)^2
    =(3x^2)(100x + 10 + 30x + 9)
    =(3x^2)(130x + 39)
    =130^3 + 117
    No, it doesn't work like that. Revise the product rule and the chain rule in your textbook, or here:
    http://www.mathhelpforum.com/math-he...-tutorial.html
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