1. ## Find F'(x)

is it asking me to derive it?

2. ## Re: Find F'(x)

Originally Posted by asilvester635
is it asking me to derive it?
The notation $\displaystyle F'(x)$ is read the derivative of $\displaystyle F(x)~.$

3. ## Re: Find F'(x)

heres what i was given

4. ## Re: Find F'(x)

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

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

5. ## Re: Find F'(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.

6. ## Re: Find F'(x)

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 $\displaystyle \text{Find }F'(x)~.$

7. ## Re: 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