how do you find the derivative of an integral? for example $\displaystyle y=cosu^8du$ on [cosx,4x]. the derivative of $\displaystyle cosu^8=8u^7*-sinu^8$ but i don't think that's what the question is asking for.
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Is this what you mean?: $\displaystyle \frac{d}{dx}\int_{h(x)}^{g(x)}f(t)dt=f(g(x))g'(x)-f(h(x))h'(x)$ If so, go for it.
so would that be $\displaystyle 4cos((4x)^8)-cos(cos^8x)(-sinx)$?
Last edited by vassago; Dec 23rd 2008 at 12:32 PM.
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