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

what are the main colors of art?
what was the effect of the persian wars?
HELP HELP HELP HEP HELP HELP HELP HELP1. Benito Mussolini 2. Joseph Stalin 3. Adolf Hitler Help please tell me who goes where Dictator of Germany Dicta
how far can a hurricane travel
What does "I have a soul of lead" mean in shakespeare?
what is 40 percent as a decimal?
What is the answer for 2x + 12 = 8 + 24
75 is 10 less than my Number. 55 Is 10 moré than my Number. what is my number?
What happens to the Mississippi River water when it flows into the Gulf of Mexico?
A father is four times as old as his daughter. In 18 years he will be two times as old as she. How old is the daughter now?