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.
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.
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 $\displaystyle y' = h(f(x))f'(x) - h(g(x))g'(x)$