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Math Help - product rule

  1. #1
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    product rule

    h(t) = [sqrt(t) ]*[(1-tē)]

    find derivative using product rule any help on how to solve this would be nice i cant come to the awnser in the back of my book :/

    also how do u do squareroot and other signs i see most people use when posting on forums?
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  2. #2
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    Just in case a picture helps...



    ... where



    ... is the product rule. Straight continuous lines differentiate downwards (integrate up) with respect to t

    Spoiler:


    __________________________________________

    Don't integrate - balloontegrate!

    Balloon Calculus; standard integrals, derivatives and methods

    Balloon Calculus Drawing with LaTeX and Asymptote!
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  3. #3
    Member Em Yeu Anh's Avatar
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    Quote Originally Posted by maybnxtseasn View Post
    h(t) = [sqrt(t) ]*[(1-tē)]

    find derivative using product rule any help on how to solve this would be nice i cant come to the awnser in the back of my book :/

    also how do u do squareroot and other signs i see most people use when posting on forums?
    h(t)=\sqrt{t}(1-t^2)

    Taking f(t)=\sqrt{t} and g(t) = (1-t^2)

    f'(t) = \frac{1}{2\sqrt{t}} and g'(t) = -2t

    h'(t) = f(t)g'(t) + g(t)f'(t)

    h'(t) = -2t\sqrt(t) + \frac{(1-t^2)}{2\sqrt{t}}

    If simplified,

    h'(t) = \frac{(1-t^2)}{2\sqrt{t}} - 2t^{\frac{3}{2}}
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  4. #4
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    Quote Originally Posted by maybnxtseasn View Post
    also how do u do squareroot and other signs i see most people use when posting on forums?
    [tex]\sqrt{t}\left(1-t^2\right)[/tex] gives \sqrt{t}\left(1-t^2\right)
    You want to learn to use LaTeX
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