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...
Related questions
Question
100%
22) Find the first partial derivatives of the function.
f(x, y) = x^y
![15-38 Find the first partial derivatives of the function.
15. f(x, y) = y5 - 3xy
17. f(x, t) = e 'cos TX
19. z = (2x + 3y) ¹⁰
x-y
21. f(x, y)
=
x + y
23. w = sin a cos B
25. f(r, s) = r ln(r² + s²)
27. u = te¹0/t
29. f(x, y, z) = xz - 5x²y³z4
31. w = - In(x + 2y + 3z)
33. u = xy sin ¹(yz)
35. f(x, y, z, t) = xyz² tan(yt)
37. u =
√x² + x² +
+ x/²/2/2
38. u =
sin(x₁ + 2x₂ +
16. f(x, y) = x¹y³ + 8x²y
18. f(x, t) = √√x In t
20. z = tan xy
22.j.f(x, y) = x
24. w = e/(u + v²)
26. f(x, t)
=
arctan (x√√7)
28. f(x, y) = f*cos(1²) dt
30. f(x, y, z) = x sin(y - z)
32. w = ze.xyz
34. u=
=xy/z
xy²
36. f(x, y, z, t)
t + 2z
+ nxn)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F570bf74e-4dcf-45d9-a5b3-5a97bb7fb73b%2F99212e8b-0db1-4b07-882b-eb06668c394a%2Fgfbuebp_processed.png&w=3840&q=75)
Transcribed Image Text:15-38 Find the first partial derivatives of the function.
15. f(x, y) = y5 - 3xy
17. f(x, t) = e 'cos TX
19. z = (2x + 3y) ¹⁰
x-y
21. f(x, y)
=
x + y
23. w = sin a cos B
25. f(r, s) = r ln(r² + s²)
27. u = te¹0/t
29. f(x, y, z) = xz - 5x²y³z4
31. w = - In(x + 2y + 3z)
33. u = xy sin ¹(yz)
35. f(x, y, z, t) = xyz² tan(yt)
37. u =
√x² + x² +
+ x/²/2/2
38. u =
sin(x₁ + 2x₂ +
16. f(x, y) = x¹y³ + 8x²y
18. f(x, t) = √√x In t
20. z = tan xy
22.j.f(x, y) = x
24. w = e/(u + v²)
26. f(x, t)
=
arctan (x√√7)
28. f(x, y) = f*cos(1²) dt
30. f(x, y, z) = x sin(y - z)
32. w = ze.xyz
34. u=
=xy/z
xy²
36. f(x, y, z, t)
t + 2z
+ nxn)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning