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