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Math Help - help with derivative

  1. #1
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    help with derivative

    can someone help me please to find the derivative of the next equation :
    f(x) = (1/x)*sin(x^(1/3))
    f '(x) = ?


    thnx
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  2. #2
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    Quote Originally Posted by tukilala View Post
    can someone help me please to find the derivative of the next equation :
    f(x) = (1/x)*sin(x^(1/3))
    f '(x) = ?


    thnx
    f(x) = \frac{sin(x^{\frac{1}{3}})}{x}

    Use the quotient rule and bear in mind you'll need to use the chain rule on the numerator

    Quotient Rule \frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}

    Chain Rule: \frac{d}{dx}f[g(x)] = f'[g(x)] \times g'(x)
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