If z = f(r*y,2x) + g (E with f and g differentiable, then if u= r*y, w= 2r and t == Then: dz A) 2ry · fu + fw + g(t) · rg'(t) y? əz B) = 2r · fu + 2fw az C) rg'(t) - 2ry · fu + 2fw - D) az 2ry · fu + 2fw + g'(t)

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

10. Answer the question shown in the picture

If
z = f(x²y,2x) + g
with f and g differentiable, then if
u = r²y, w = 2x
and
Then:
dz
A)
2ry · fu + fw + g'(t) · -
B)
dz
= 2x · fu+ 2fw
rg'(t)
y?
az
C)
rg'(t)
2.ry · fu + 2fw
y?
D)
dz
2.ry · fu + 2fw +
g'(t)
Transcribed Image Text:If z = f(x²y,2x) + g with f and g differentiable, then if u = r²y, w = 2x and Then: dz A) 2ry · fu + fw + g'(t) · - B) dz = 2x · fu+ 2fw rg'(t) y? az C) rg'(t) 2.ry · fu + 2fw y? D) dz 2.ry · fu + 2fw + g'(t)
Expert Solution
Step 1

Given :

z = fx2y, 2x + gxy with f and g differentiable.

Also if u = x2y, w = 2x and t = xy.

 

To find zx

steps

Step by step

Solved in 3 steps

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