Question

If F(x) = f(g(x)), where f(-2) = 8. f'(-2) = 4, f'(5)= 3,g(5)= -2.g (5) = 6, find F'(5) Select one: O a. 8 O b. 12 O c. 20 O d. 24​

Answer 1

Answer: If F(x) = f (g (x) ), then by the Chain Rule. F ' (x) = f ' (g(x)) g ' (x) Now is simply a matter of plugging in numbers. F ' (5) = f ' (g(5)) g ' (5)

If F(x) = f(g(x)), where f(4) = 5, f '(4) = 6, f '(3) = 4, g(3) = 4 ...

If g (x) = x*f (x) where f (3) = 4 and f' (3) = -2...

Explanation:

If F(x) = f(g(x)), where f(−1) = 6, f '(−1) = 7, f '(2) = 5, g(2) = −1, and g'(2) = 2, find F '(2)