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

For a hydrogen- like atom, classify these electron transitions by whether they result in the absorption or emission of light: n=3 to n=5, n=1 to n=3, n=3 to
What term is used to describe the motion of objects
Hello is it anyone up here that can help me with my question please
help me please please
What Is the Difference Between a Civic Duty and a Civic Responsibility? Answer this question in a paragraph of three to five sentences. Be sure to give an examp
en que consiste el efecto invernadero
hey can anybody help me
Which statement best describes the scientific laws? Scientific laws are scientists' opinions of why events occur in nature. Scientific laws describe specific re
The smallest unit of a compound is called a ___________. A. ion B. molecule C. isotope
When a mixture of limestone and clay is heated in a rotary kiln cement is produced. Burning a mixture of methane and air heats the kiln. Carbon dioxide is one o