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

A solution of a battery is 14% sulfuric acid. If we have 9 gallons of the solution, how much of it is acid?
Which of the following sets of numbers is a Pythagorean triple? A. 14, 40, 50 B. 7, 24, 31 C. 7, 20, 27 D. 14, 48, 50
what political changes did the end of the Franco-Prussian War bring to france
Which is the first enzyme used in the production of cdna?
△ABC is similar to △XYZ. Also, angle A measures 45° and angle C measures 60°. What is the measure of angle Y? Enter your answer in the box.
A sphere has a mass of 64 g, and a density of 2.0 g/cm3 . what is the radius of the sphere
in response to rising inflation, the Federal Reserve may sell government securities in open market operations in order to
A sprinter set a high school record in track and field, running 200.0 m in 21.4 s . what is the average speed of the sprinter in kilometers per hour?
Who was affected by this policy or situation as depicted in the cartoon?
In an experiment, a researcher manipulates one variable to see how it affects a second variable. the second variable, which is observed for any possible effects