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A table of values for f,g,f', and g' is given below.
x f(x) g(x) f ' (x) g' (x)
1 1 3 3 1
2 2 3 2 1
3 2 1 2 3
A. If h(x)=f(g(x)), h'(3)=
B. If h(x)=g(f(x)), then h'(2)=
 one year ago
 one year ago
What do I do here? A table of values for f,g,f', and g' is given below. x f(x) g(x) f ' (x) g' (x) 1 1 3 3 1 2 2 3 2 1 3 2 1 2 3 A. If h(x)=f(g(x)), h'(3)= B. If h(x)=g(f(x)), then h'(2)=
 one year ago
 one year ago

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hartnnBest ResponseYou've already chosen the best response.1
can you differentiate h(x) = f(g(x)) using chain rule ? to find h'(x)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
do u know whats chain rule ?
 one year ago

kiszer4148Best ResponseYou've already chosen the best response.1
I know the chain rule but I don't understand how I'm supposed to differentiate with no equation
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
what definition of chain rule u have with u ?
 one year ago

kiszer4148Best ResponseYou've already chosen the best response.1
Let F be the composition of two differentiable functions f and g; F(x) = f(g(x)). Then F is differentiable and F'(x) = f '(g(x)) g '(x) That is textbook definition that I have on me
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
you just differentiated f(g(x)) ! h' (x) = [f(g(x))]' = f '(g(x)) g '(x)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
now to get h'(3), just put x=3 in h'(x) what u get ?
 one year ago

kiszer4148Best ResponseYou've already chosen the best response.1
So part a would be 9? since g'(3)=3 and f'(g(3) is 3 right?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
now what about [g(f(x))]' using same chain rule
 one year ago

kiszer4148Best ResponseYou've already chosen the best response.1
That answer will be 2 right? Since with the chain rule you will get g'(f(x)) f'(x)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
yes, thats also correct :) good work!
 one year ago

kiszer4148Best ResponseYou've already chosen the best response.1
Thank you very much for your help. I have another calc problem left on this assignment. Do you mind helping me with that one also by chance?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
ask the question in new post, if i can i'll help :)
 one year ago
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