AnnaDbar
AnnaDbar AnnaDbar
  • 10-07-2021
  • Mathematics
contestada

Find dy/dx given that y = sin(cos(x))​

Respuesta :

leena
leena leena
  • 10-07-2021

Hi there!

[tex]\large\boxed{-sin(x)cos(cos(x))}[/tex]

Use the chain rule:

f(g(x)) = f'(g(x)) · g'(x)

Thus:

dy/dx sin(x) = cos(x)

dy/dx cos(x) = -sin(x)

Use the chain rule format:

f(x) = sin(x)

g(x) = cos(x)

cos(cos(x)) · (-sin(x))

-sin(x)cos(cos(x))

Answer Link

Otras preguntas

There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the Washington Monument is 27 less than 6 times the number of s
evaluate how preventing and managing stress and getting help for mental and social problems can help a person achieve short- and long-term goals.
I need help on this question plz
Geometric Sequence Assistance
Two combine in harvest 320 acres of wheat in a certain amount of time. Assuming all combines work at the same rate, how many acres of wheat can six combines har
The speed of light in a transparent medium is 0.6 times that of its speed in vacuum. Find the refractive index of the medium.
An acid-base titration is a neutralization reaction performed to determine: the concentration of an unknown acid based upon the concentration of a known base
Intercept from a table
Which of the following is not a biological polymer? triglycerides cornstarch glucose DNA
Inquiry chart how does solar radiation affect climate?