Using the table of values Find h'(3) if h(x)=g(f(x))

http://i595.photobucket.com/albums/t...leofvalues.jpg

I feel so dumb right now because this problem looks super easy but I can't get the correct answer.

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- Oct 17th 2009, 10:24 AMyoman360Find h'(3) if h(x)=g(f(x))
Using the table of values Find h'(3) if h(x)=g(f(x))

http://i595.photobucket.com/albums/t...leofvalues.jpg

I feel so dumb right now because this problem looks super easy but I can't get the correct answer. - Oct 17th 2009, 10:35 AMScott H
To find the answer, we use the Chain Rule. This states that if

then

A way of looking at this rule is to note that influences how fast changes with , which in turn affects the rate of change of by a factor of .

If , for example, then will change twice as fast as , and the rate of change of will be multiplied by a factor of .

Hope this helps! :) - Oct 17th 2009, 10:47 AMyoman360