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

Given m \| nm∥n, find the value of x. (7x-10)° (6x-5)°
List five factors that can affect levels of dissolved oxygen in water:
Which cultural trend is best illustrated in this photograph? 1 .flappers 2.temperance movement 3.prohibition 4.fundamentalism
I neeed helpppppppppppppppppppp
Regarding the effects of socioeconomic status (SES), which of the following statements is FALSE? The IQs of high SES children are more dramatically influenc
A tv is sold for ra 10350 with 15% profit. Find the cp of tv
How many electrons does calcian have to gain or lose to have 8 valence electrons
what is happening in the mechanical engineering field right now
You are deciding between First National Bank and Liberty Bank. They both offer checking and savings accounts. First National charges a $10 fee to receive checks
explain how the models in questions 4 and 5 are the same