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Math Help - Can someone check my answer please?

  1. #1
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    Can someone check my answer please?

    Take the derivative of 5x^2e^3x

    I got  10xe^3x(2x+3) The X afeter the 3 are suppose to be with the 3 and not lower then the 3.



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  2. #2
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    Quote Originally Posted by Darkhrse99 View Post
    Take the derivative of 5x^2e^3x

    I got  10xe^3x(2x+3) The X afeter the 3 are suppose to be with the 3 and not lower then the 3.



    Thanks
    f(x) = 5x^2e^{3x}

    Using the product rule

    u = 5x^2 \: , \: u' = 10x

    v = e^{3x} \: , \: v' = 3xe^{3x}

    f'(x) = u'v + v'u

    f'(x) = 10xe^{3x} + 15x^3e^{3x} = 5xe^{3x}(2+3x^2)
    Last edited by e^(i*pi); August 5th 2009 at 08:50 AM. Reason: correcting a poor minus sign
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  3. #3
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    Quote Originally Posted by Darkhrse99 View Post
    Take the derivative of 5x^2e^3x
    I got  10xe^3x(2x+3) The X afeter the 3 are suppose to be with the 3 and not lower then the 3.
    If you have more than one character in an exponent, set off the whole exponent in braces.
    [tex]x^{3x}[/tex] gives  x^{3x} instead of  x^3x.
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