Product Rule Homework: Find (fg)'(2)

[HerroFish]

Homework Statement

If f(2) = 3, f'(2) = 5, g(2) = -1, g'(2) = -4, find (fg)'(2).

Homework Equations

if F(x) = f(x)g(x)
F'(x) = f'(x)g(x) + g'(x)f(x)

The Attempt at a Solution

I have no idea how to attempt his question :(

 

[eumyang]

Homework Statement

If f(2) = 3, f'(2) = 5, g(2) = -1, g'(2) = -4, find (fg)'(2).

Homework Equations

if F(x) = f(x)g(x)
F'(x) = f'(x)g(x) + g'(x)f(x)

The Attempt at a Solution

I have no idea how to attempt his question :(

So you know the product rule:
(fg)'(x) = f'(x)g(x) + g'(x)f(x)

You want to find (fg)'(2), which equals...
(fg)'(2) = f'(2)g(2) + g'(2)f(2)

You can figure out the rest.

 

[jedishrfu]

you've got the answer right in front of you they are asking F' ' (2) = (fg) ' (2) so what is (fg)' ?