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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- Nov 17th 2012, 03:26 PMjohnsy123Finding 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. - Nov 17th 2012, 03:29 PMMacstersUndeadRe: Finding derivative of function
Recall the Fundamental Theorem of Calculus

- Nov 17th 2012, 03:39 PMPlatoRe: Finding derivative of function
Your notation is horrible!

Is it $\displaystyle y = \int_x^{\sqrt x } {\frac{{\cos (\theta )}}{\theta }d\theta } ~?$

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