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Math Help - I can't seem to get the correct answer!

  1. #1
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    I can't seem to get the correct answer!

    differentiate: y=cos(a^3+x^3)
    my answer: y'=-sin(a^3+x^3)(3a^2+3x^2)
    correct answer: y'=-3x^2sin(a^3+x^3)

    I tried this multiple times and get the same answer (my answer). Either I am doing it incorrectly or the back of the book is incorrect.
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  2. #2
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    Quote Originally Posted by yoman360 View Post
    differentiate: y=cos(a^3+x^3)
    my answer: y'=-sin(a^3+x^3)(3a^2+3x^2)
    correct answer: y'=-3x^2sin(a^3+x^3)

    I tried this multiple times and get the same answer (my answer). Either I am doing it incorrectly or the back of the book is incorrect.
    a^3 represents a constant ...

    y = \cos(a^3 + x^3)

    y' = -\sin(a^3 + x^3) \cdot 3x^2
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