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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

 Sep 26, 2016
 #2
avatar+223 
0

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.

 Sep 26, 2016
 #3
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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. 

 Sep 26, 2016
 #4
avatar+223 
0

Oh I see. I added 7 and 6 when I was supposed to multiply.

Skgr136  Sep 26, 2016

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