For the following composite function, find an inner function u = g(x) and an outer function y =f (u) such that y = f(g(x)). Then calculate dx y= sin 11x ... Select the correct choice below and fill in the answer box to complete your choice. dy O A. dx d -(sin du d d dy В. dx (w)(sin "x) =| 11 du dy OC. oc. .(u") -ain x) = d d dy O D. dx d d (sin u) • (x") =D %3D du dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

3.7 .1

dy
For the following composite function, find an inner function u = g(x) and an outer function y = f (u) such that y= f(g(x)). Then calculate
dx
%3D
11
y= sin "x
...
Select the correct choice below and fill in the answer box to complete your choice.
d.
dy
A.
dx
d
(sin 1'u) • (x) =|
%3!
du
dy
(u) • (sin 1"x)
d
d
=
dx
du
dy
d
d
(u")
du
(sin x) =
dx
dx
dy
D.
dx
d.
d
-(sin u)•(x") = O
%D
du
dx
II
B.
C.
Transcribed Image Text:dy For the following composite function, find an inner function u = g(x) and an outer function y = f (u) such that y= f(g(x)). Then calculate dx %3D 11 y= sin "x ... Select the correct choice below and fill in the answer box to complete your choice. d. dy A. dx d (sin 1'u) • (x) =| %3! du dy (u) • (sin 1"x) d d = dx du dy d d (u") du (sin x) = dx dx dy D. dx d. d -(sin u)•(x") = O %D du dx II B. C.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning