is it asking me to derive it?
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Originally Posted by asilvester635 is it asking me to derive it? The notation $\displaystyle F'(x)$ is read the derivative of $\displaystyle F(x)~.$
heres what i was given
Originally Posted by asilvester635 heres what i was given If each of $\displaystyle f~\&~g$ is a differentiable function and $\displaystyle F(x) = \int_{g(x)}^{f(x)} {h(t)dt} $ then $\displaystyle F'(x)=f'(x)h(f(x))-g'(x)h(g(x))$
Unless there is more to the problem than you have shown us, it is NOT asking you to differentiate F, it is asking you to find F(x) by integrating.
Originally Posted by HallsofIvy Unless there is more to the problem than you have shown us, it is NOT asking you to differentiate F, it is asking you to find F(x) by integrating. The title does say $\displaystyle \text{Find }F'(x)~.$
I'd say Plato is correct: I'd hazard that it is supposed to be an application of the Fundamental theorem. -Dan