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

which of these events in history does seidman say occurred in direct violation of the constitution? a. the building of the white house b. Formation of the supre
What does the monogenesis theory in Language emergence state ?
mary buys a reel of thread for sewing. There are 10 m of thread on the reel. she uses 210 cm. How much reel is left in cemtimeters
What are the reasons for not increase in height
what do 10, 25, 50, and 125 have in common
Jason is saving up to buy a digital camera that cost $490. So far he has saved $175. He would like to buy the camera 3 weeks from now. Write an equation and sol
which of these events in history does seidman say occurred in direct violation of the constitution? a. the building of the white house b. Formation of the supre
what is it called when the species change over time
what is the relationship between knights and nobles
which expression has a value that is less than the Base of that expresion