chiquilanbrosig chiquilanbrosig
  • 01-12-2019
  • Mathematics
contestada

Let f and g be differentiable functions such that f(1) = 2, f'(1) = 3, f'(2) = -4, g(1) = 2, g'(1) = -3, g'(2) = 5. If h(x) = f (g(x)) , then h'(1) =

Respuesta :

MathPhys
MathPhys MathPhys
  • 01-12-2019

Answer:

12

Step-by-step explanation:

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

Using chain rule:

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

h'(1) = f'(g(1)) g'(1)

h'(1) = f'(2) g'(1)

h'(1) = -4 × -3

h'(1) = 12

Answer Link

Otras preguntas

the warmest temperature ever recorded on earth was 58°c, in libya, on september 13, 1922. the coldest temperature ever recorded on earth was –89°c, in antarctic
which best describes density? a. the amount of matter that makes an object. b. the amount of space an object occupies. c. the amount of matter there is in an ob
where on the scale is bacteria moat likely to grow
x squared minus x minus 6 =0
Railroads encouraged the growth of settlements in the West because they A. paid people to settle the Great Plains. B. paid to remove local Native Ameri
como le dicen casa en diferentes paises
Speciation occurs during the evolutionary development, or phylogeny, of a species. In which of the following situations can speciation occur? When a populat
Which city is next to the tajo river
is this a function ?|x| - y = 2
the rattlesnake is the most popular snake in our country