- #1

AL107

- 3

- 0

- Homework Statement
- x: -1 1 3

f(x): 6 3. 1

f’(x): 5. -3 -2

g(x): 3. -1. 2

g’(x): -2. 2. 3

The table above gives values of f, f', g, and g' at selected values of x. If h(x) = f(g(x)), then h'(1) =

(A) 5

(B) 6

(C) 9

(D) 10

(E) 12

- Relevant Equations
- h(x)=f(g(x))

I originally thought you’d have to use the chain rule to get h’, as in: f’(g(x))*g’(x). Plugging in 1 for x, I got an answer of 10. An online solution, however, said that you only had to get f(g(1)), which was f(-1), then look up f’(-1) in the table. Both approaches seem logical to me, but they yield different results. Can someone clarify? Thank you!