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Math Help - Differentiate the equation

  1. #1
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    Differentiate the equation

    Did I differentiate these correctly?

    1) g(x)=5x^8-2x^5+6
    my answer: g'(x)=40x^7-10x^4

    2) f(t)=\frac{1}{2}t^6-3t^4+t
    my answer: f'(t)=3t^5-12t+1

    3) R(t)=5t^{-3/5}
    my answer: -3t^{-8/5}

    4) f(t)=\sqrt{t}-\frac{1}{\sqrt{t}}
    my answer: \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-2/3}

    5) y=x^{1/3}
    my answer: y'=\frac{1}{3}x^{-2/3}
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  2. #2
    ynj
    ynj is offline
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    yes
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  3. #3
    Member eXist's Avatar
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    I disagree with the 2nd and the 4th problem.

    You have:
    2) ...
    my answer: f'(t)=3t^5-12t+1

    4) ...
    my answer: \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-2/3}

    I think it should be:
    2) f'(t)=3t^5-12t^3+1

    4) \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-3/2}
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  4. #4
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    Quote Originally Posted by eXist View Post
    I disagree with the 2nd and the 4th problem.

    You have:
    2) ...
    my answer: f'(t)=3t^5-12t+1

    4) ...
    my answer: \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-2/3}

    I think it should be:
    2) f'(t)=3t^5-12t^3+1

    4) \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-3/2}
    Thanks! I re did it and got your answers
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