Question

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Answer 1

are you able to use the chain rule?

Answer 2

You should find that
\[\Large h(x) = g[f(x)]\]
\[\Large h \ '(x) = g \ '[f(x)]*f \ '(x)\]
after using the chain rule. Now plug in x = 1

Answer 3

@chris215, do you understand what @jim_thompson5910 has said?

Answer 4

i think.. when I plugged in 1 for x I got 0

Answer 5

what is f(1) equal to?

Answer 6

im not sure

Answer 7

look at the table

find where x = 1
then look up the value of f(x)

Answer 8

so 3?

Answer 9

yes, f(1) = 3

Answer 10

\[\Large h \ '(x) = g \ '[f(x)]*f \ '(x)\]
\[\Large h \ '(1) = g \ '[f(1)]*f \ '(1)\]
\[\Large h \ '(1) = g \ '[\color{red}{f(1)}]*f \ '(1)\]
\[\Large h \ '(1) = g \ '(\color{red}{3})*f \ '(1)\]

Answer 11

now you just need to find `g ' (3)` and `f ' (1) ` in the table. Then multiply

Answer 12

ok so is it 6?

Answer 13

how are you getting 6?

tell me what you're getting for `g ' (3)` and `f ' (1) `

Answer 14

oh sorry 18

Answer 15

and how did you get 18?

Answer 16

f'(1)=2 and g'(3)=9 right? then multiply?

Answer 17

yep you nailed it

Answer 18

\[\Large h \ '(1) = 18\]
is your final answer

Answer 19

thanks so much!!

Answer 20

np