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

You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
please can someone help my assignment​
How do public officials use public opinion polls? A) to learn what citizens think about issues and to help guide their decisions B) to publish their positions
PLEASE ANSWER FAST WILL GIVE YOU BRAINLEST LOL You are testing two scales for accuracy by weighing two different objects. Use the drop-down menus to complete th
(4w^2 -m) - (-15w^2) (i’ll give brainliest)
|listdown three affectingaffecting capacitance​
please help. thank you!Find an interesting chemical reaction. It can be a simple one but please have some facts and info about it. Thank you!​ ​
What is 65 percent of 30,000?
Calculate a company's total leverage given the following information: Change in sales = 3% Change in earnings = 9%