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Math Help - Derivatives: Product/Quotient Rule

  1. #1
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    Derivatives: Product/Quotient Rule

    I am working on this problem.

    V=(1-t) (1+t^2)^-1

    The ^-1 is what is confusing me.

    I set it up like this.

    (1-t)(2t) + (1+t^2)(-1) I don't think this is right because I did not account for the ^-1. Does that mean I would make the (2t^-1) making it -2t??
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  2. #2
    Member Miss's Avatar
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    Quote Originally Posted by KarlosK View Post
    I am working on this problem.

    V=(1-t) (1+t^2)^-1

    The ^-1 is what is confusing me.

    I set it up like this.

    (1-t)(2t) + (1+t^2)(-1) I don't think this is right because I did not account for the ^-1. Does that mean I would make the (2t^-1) making it -2t??
    (1-t)(t^2+1)^{-1} = \frac{1-t}{t^2+1}
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  3. #3
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    Quote Originally Posted by Miss View Post
    (1-t)(t^2+1)^{-1} = \frac{1-t}{t^2+1}
    I always forget that stupid rule!! Let me try to work through the rest of this and I will post what I get thank you!
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