# Find F'(x)

• Dec 7th 2012, 09:44 AM
asilvester635
Find F'(x)
is it asking me to derive it?
• Dec 7th 2012, 09:49 AM
Plato
Re: Find F'(x)
Quote:

Originally Posted by asilvester635
is it asking me to derive it?

The notation $F'(x)$ is read the derivative of $F(x)~.$
• Dec 7th 2012, 09:55 AM
asilvester635
Re: Find F'(x)
Attachment 26127

heres what i was given
• Dec 7th 2012, 10:37 AM
Plato
Re: Find F'(x)
Quote:

Originally Posted by asilvester635
Attachment 26127
heres what i was given

If each of $f~\&~g$ is a differentiable function and $F(x) = \int_{g(x)}^{f(x)} {h(t)dt}$ then

$F'(x)=f'(x)h(f(x))-g'(x)h(g(x))$
• Dec 7th 2012, 12:40 PM
HallsofIvy
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.
• Dec 7th 2012, 12:43 PM
Plato
Re: Find F'(x)
Quote:

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 $\text{Find }F'(x)~.$
• Dec 7th 2012, 04:04 PM
topsquark
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