if G(x)=g(g(x)), find G'(1).
according to table
x f(x) g(x) f'(x) g'(x)
1 3 2 4 6
2 1 3 5 7
3 2 1 7 9
Use the chain rule.
g'(g(x)) multiplied by g'(x)
Replace all the x's with 1
g(1) equals 2 so plug that into the chain rule to get:
g'(2) multiplied by g'(1)
Now plug in g'(2) and g'(1)
7 plus 6 equals 13.
So 13 is your answer.
The answer was 42 actually. I did something wrong on my online homework. and no harambe, it may look easy but no one had the right answer.
Thank you skgr136 for trying.
Oh I see. I added 7 and 6 when I was supposed to multiply.