J5keAvilarklindygla
J5keAvilarklindygla J5keAvilarklindygla
  • 04-08-2016
  • Mathematics
contestada

Solve the equation below:
Let f and g be differentiable functions such that
f(1) = 4, g(1) = 3, f'(3) = -5, f'(1) = -4, g'(1) = -3, g'(3) = 2
If H(x) = f(g(x)), then h'(1) =

Respuesta :

Hagrid
Hagrid Hagrid
  • 08-08-2016
Remember the chain rule.
L(x)=f(g(x))

L'(x)=f'(g(x))g'(x)

take the derivative of f(g(x)). just treat them like they are variables. so you get:

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

now plug in your x value and evaluate:

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


substitute in values that you know and evaluate again
h'(1)=f'(3)(-3)

h'(1)=(-5)(-3)=15

Answer Link

Otras preguntas

what pattern is a heart-shaped pattern that captures sound from a single direction, ?from the front?
what is the largset prime number less that 40
Dont try -------the channel in rough seas (cross) infinitive +to or ing
How many moles is 50g of CaCO3?
where was eyeglasses discovered or invented
It's looking for the solved answer, not the simplified expression (no variable in final answer)
The distance between two communication towers is 12.654 miles. What is this distance rounded to the nearest tenth of a mile?
PLEASE HELP!! WILL GIVE BRAINLIEST ANSWER TO THE FIRST PERSON
1. Find the value of the expression. 7755 • 21
What are some possible explanations for the low saving rate in the United States?