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

necesito una fabula con moraleja
which three terms relate to ancient egypt? belief in the afterlife cremation polytheism democracy honoring cats
Determine which relation is a function. A. {(–5, 1), (–5, 0), (–2, 1), (–1, 4), (6, 2)} B. {(–5, 1), (–2, 0), (–2, 2), (3, 4), (6, 2)} C. {(–5, 1), (–2, 0), (–
If x and y are both negative, when is x-y positive?
True or False if something was turn to make something is it a chemical reaction
prove that opposite angles of a parallelogram are congruent
How long is the life expectancy of dolphins
A car traveling with constant speed travels 150 km in 1700 s. What is the speed of the car?
pints quarts cups gallons from most precise to least precise
what is 0.000546 in scientific nottion