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Math Help - Finding derivative of function

  1. #1
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    Finding derivative of function

    How would i find the derivative of:

    y=integral from x to sqrt{x} of costheta/theta.

    Does this involve the quiotient rule? i get confused with how to evaluate these when it's in the form of an integral, some clarity would be great thanks.
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  2. #2
    Senior Member MacstersUndead's Avatar
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    Re: Finding derivative of function

    Recall the Fundamental Theorem of Calculus
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    Re: Finding derivative of function

    Quote Originally Posted by johnsy123 View Post
    How would i find the derivative of:
    y=integral from x to sqrt{x} of costheta/theta.
    Your notation is horrible!
    Is it y = \int_x^{\sqrt x } {\frac{{\cos (\theta )}}{\theta }d\theta } ~?

    If each of f~\&~g is a differentiable function and y = \int_{g(x)}^{f(x)} {h(\theta )d\theta } then y' = h(f(x))f'(x) - h(g(x))g'(x)
    Thanks from topsquark
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