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

Consider the statement square root 300c^9 = 10c^x square root 3 c For what value of x is the statement true X=??
!!PLEASE ANSWER ASAP!! this table shows the values for functions f(x) and g(x) . what is the solution to f(x) and g(x) ? select each correct answer.
Which situation could be modeled using a linear function
factor completely 9r^2 + 30r+25
Read this excerpt from the Cherokee creation story "How the World Was Made": When all was water, the animals were above in Galûñ’lati, beyond the arch; but it w
A movie theater sold 825 tickets to fill 3 theaters. Each theater has a equal number of seats. How many seats are in each theater
Lisa has 3 cards numbered 6, 8, 10 and Keari has 3 cards numbered 1, 9, 9. If each of them select a card at random, what is the probability that the sum of the
Help brainliest also.
read 147 pages of a book completed 70% of a book how many more pages does he read
a county park charges $175 fee to rent a pavillion plus $20 per guest. Write an equation for this function. What do the slope and y-intercept represent