Question

Supposef'(2) = 4, g'(2) = -3, f(2) = -1, g(2) = 2, find the derivative at 2 for:

s(x)=f(x)+5g(x)

Somebody help?

Answer 1

so you are looking for s'(2)?

Answer 2

yes

Answer 3

How do I do that?

Answer 4

well then s'(x) = f'(x) +5g'(x)
f(2) and g(2) don't seem to be needed

Answer 5

true. wht do I do?

Answer 6

just plug in your values it seems.

Answer 7

What values? Can you guide me?

Answer 8

http://www.hyper-ad.com/tutoring/math/calculus/Properties_of_Derivatives.html

Answer 9

I got it, but how about h(x) = f(g(x))?
h'(2)= ... ?

Answer 10

on that link scroll down to the chain rule.

Answer 11

I see, but im still confused. :/