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 where the 4 causes of European exploration! HELPPPPP
Use the exchange rate £1 = $1.38 to convert $276 into £.
2(c+3d) (c-d) algebra
What are 3 claims that prove Goldilocks was a criminal
WORLD POPULATION GROWTH 20.000 Millions of people 10,000 World 5,000 2.000 Asia 1.000 Africa Europe 500 200 United States, Mexico Canada, & Greenland 100 Ce
why brainly so horrible like i just mad a 40 and brainly gave me the wrong answers now we all should just get on grammly
Xavier and Fatima both work at a local convenience store, Mac. Their supervisor, Gerald, has just decided to make them take turns working alone in the store in
Which of the equations are true identities? A. n(n –2)(n + 2) = n³ – 4n B. (x + 1)² – 2x + y² = x² + y² + 1 Choose 1 answer: Only A Only B Both A and B Neither
when romans drank, to whom did they pray? help me please ​
What’s the answer pls