1. Sep 29, 2011

tpcgreg

Hello,

It is given that h(x) = f(x)g(x). It then tells me to write a formula for h'(2).

I know that h'(x) = f'(x)g(x) + f(x)g'(x), using the product rule.

So I assumed that h'(2) = f'(2)g(2) + f(2)g'(2)

Is this correct? Does the product rule simply allow me to do this? It seems to simple.

Greg

Last edited: Sep 29, 2011
2. Sep 29, 2011

noobilly

Looks correct to me. You were expecting something really complicated?

3. Sep 30, 2011

tpcgreg

I'm in calculus 1, so this stuff is fairly new to me. Just making sure I wasn't missing something. Thanks!!

4. Sep 30, 2011

HallsofIvy

Staff Emeritus
Yes, if a function is given by f(x)= really complicated stuff with the letter "x" in it, then
f(2)= really complicated stuff with the letter "x" replaced by the number 2.

That has nothing to do with the derivative, per se, but with "function notation".