Question

Is the graph of h(x)=f(g(x)) increasing, decreasing, or at a relative maximum or minimum when x=? Give a reason for your answer.

Answer 1

I used the chain rule and sub x=3 and got h'(3)=48 I think it is increasing because h'(3) >0 but not sure how to tell if it could be a max or min in disguise

Answer 2

Yes chain rule will get you the answer

Answer 3

h(x)=f(g(x))
h'(x)=f'(g(x)) * g'(x)

Answer 4

Min and max are critical numbers. Derivatives will be equal to 0.

Answer 5

or undefined

Answer 6

so is my conclusion correct that it is increasing because h'(3)>0

Answer 7

yes

Answer 8

ok thanks