Suppose h = fog. Find h'(0) given that f(0) = 5, f '(1) = −7, g(0) = 1, and g'(0) = 7.

Question

If h = fog. Find h'(0) given that f(0) = 5, f '(1) = −7, g(0) = 1, and g'(0) = 7.

How do we find h'(0) =

Answer 1

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

 

h'(0) = f'(g(0)) g'(0)

 

g(0) = 1

g'(0) = 7

f'(1) = -7

 

h'(0) = [f'(1)] (7) = (-7)(7) = -49