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Math Help - derivative help

  1. #1
    Member mybrohshi5's Avatar
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    derivative help

    f(x)=tan(5x)

    find f'(x) and f"(x)

    so i found f'(x) to be 5*sec^2(5x)

    i am having trouble finding f"(x)

    i thought it was 25*sec^2(5x)*tan^2(5x) but it wrong.

    could i get some help with the second derivative please =)

    thank you

    chad
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  2. #2
    MHF Contributor

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    Quote Originally Posted by mybrohshi5 View Post
    f(x)=tan(5x)

    find f'(x) and f"(x)

    so i found f'(x) to be 5*sec^2(5x)

    i am having trouble finding f"(x)

    i thought it was 25*sec^2(5x)*tan^2(5x) but it wrong.

    could i get some help with the second derivative please =)

    thank you

    chad
    I don't see a factor of "2" in your coefficient. Of course, the derivative of [tex]x^2[tex] is 2x so the derivative of 5sec^2(5x) is 5(2 sec(5x)) times the derivative of sec(5x).
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