if G(x)=g(g(x)), find G'(1).

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.