Given that g(5) = −2, g′(5) = 3, h(5) = 2, and h′(5) = −4, find f ′(5) for each of the following, if possible. (If it is not possible, enter NOT POSSIBLE.)

Question

(a) f(x) = g(x)h(x)

f ′(5) =

(b) f(x) = g(h(x))

f ′(5) =

(c) f(x) = g(x) / h(x)

f ′(5) =

(d) f(x) = [g(x)]^3

f ′(5) =

Answer 1

(a) Use Product Rule

(b) Use Chain Rule

(c) Use Deivision Rule

(d) Use Chain Rule