Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x+y)+5 cos(x - y). af -14cos(2x+y)-5sin(x-y) A. D. = F. 8² f C. = fix Əx² fa af = fy=-7cos(2x+y)+5sin(x-y) dy a² f dy² = 8²ƒ მყმ - 8²ƒ E. = fyz = didy fyy fry= 28sin(2x+y)-5cos(x-y)

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
Find all the first and second order partial derivatives of \( f(x, y) = -7 \sin(2x+y) + 5 \cos(x-y) \).

A. \(\frac{\partial f}{\partial x} = f_x = -14 \cos(2x+y) - 5 \sin(x-y)\)

B. \(\frac{\partial f}{\partial y} = f_y = -7 \cos(2x+y) + 5 \sin(x-y)\)

C. \(\frac{\partial^2 f}{\partial x^2} = f_{xx} = 28 \sin(2x+y) - 5 \cos(x-y)\)

D. \(\frac{\partial^2 f}{\partial y^2} = f_{yy} =\)

E. \(\frac{\partial^2 f}{\partial x \partial y} = f_{xy} =\)

F. \(\frac{\partial^2 f}{\partial y \partial x} = f_{yx} =\)
Transcribed Image Text:Find all the first and second order partial derivatives of \( f(x, y) = -7 \sin(2x+y) + 5 \cos(x-y) \). A. \(\frac{\partial f}{\partial x} = f_x = -14 \cos(2x+y) - 5 \sin(x-y)\) B. \(\frac{\partial f}{\partial y} = f_y = -7 \cos(2x+y) + 5 \sin(x-y)\) C. \(\frac{\partial^2 f}{\partial x^2} = f_{xx} = 28 \sin(2x+y) - 5 \cos(x-y)\) D. \(\frac{\partial^2 f}{\partial y^2} = f_{yy} =\) E. \(\frac{\partial^2 f}{\partial x \partial y} = f_{xy} =\) F. \(\frac{\partial^2 f}{\partial y \partial x} = f_{yx} =\)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 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