chiquilanbrosig chiquilanbrosig
  • 01-12-2019
  • Mathematics
contestada

Let f and g be differentiable functions such that f(1) = 2, f'(1) = 3, f'(2) = -4, g(1) = 2, g'(1) = -3, g'(2) = 5. If h(x) = f (g(x)) , then h'(1) =

Respuesta :

MathPhys
MathPhys MathPhys
  • 01-12-2019

Answer:

12

Step-by-step explanation:

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

Using chain rule:

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

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

h'(1) = f'(2) g'(1)

h'(1) = -4 × -3

h'(1) = 12

Answer Link

Otras preguntas

One good argument against forgiving Africa's debt would be because _____
which sentence contains a mixed compound subject? A) All of the toys were scattered across the floor. B) Leticia and her cousins spent the day at the lake. C) A
Which nuclide is paired with a specific use of that nuclide? (1) carbon-14, treatment of cancer (2) cobalt-60, dating of rock formations (3) iodine-131, treatme
which is greater a 2.75 gallon container or juice or 12 liter container of juice
Which compound contains ionic bonds?(1) NO (3) CaO(2) NO2 (4) CO2
Which word describes Old Kaspar's attitude, in "The Battle of Blenheim," about the human skull his grandchildren find? A. unemotional B. compassionate C. puzzle
What is the area under the curve as shown below? Explain how you got the answer
which was an argument for Japanese imperial expansion
A temperature of 37°C is equivalent to a temperature of (1) 98.6 K (3) 310. K (2) 236 K (4) 371 K
Which indicator is blue in a solution that has a pH of 5.6? (1) bromcresol green (3) methyl orange (2) bromthymol blue (4) thymol blue