Find the Partial Derivatives of the functions with respect to each variable-1Ans. f, =-15) f(x,y)=-x+ y(x+ y)}*'-(x+y)6) S(x, y) = *+yху —1-y² -1-x -1Ans. f, =%3D(xy – 1) ,(ху - 1)(ху -7) S(x, y) =e*ey41)Ans. f,= e**y+1), S. = e*+»+1)%3D1Ans. f. =x+y18) f(x, y) = In(x+y)x+y9) S(x, y) = sin²(x-3y)Ans. f, =2sin(x – 3y)cos(x – 3y),f. =-6sin(x-3y)cos(x– 3y)10) f(x, y) = xAns. f, = yx", f, =x' In(x)11) f(x,y) = fg(1)dt,Ans. f. =-g(x), f, = g(y)(g continuous for all t)12) f(x, y,z)=1+xy² – 2z?Ans. f. = y, f, = 2xy, ƒ. = -4z13) f(x, y, z) = x -Vy² +z?Ans. f. =1, f, =-ylv² + z*)"?,S. =--(y* +z°)"?-1/2yz14) f(x, y,z)= sin'(xyz)Ans. f.1-x²y°z²'XZ1-x*y°z²хуf =V1-x*y°z²

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Find the Partial Derivatives of the functions with respect to each variable 1 5) f(x, y)=- x+ y -1 -1 Ans. f.=Tr+ v}y (x+ y)* (x+y)* - y² - 1 (ху - 1)? -x -1 x+ y 6) f(x,y)= xy – 1 Ans. f. (ху - 1)* 7) f(x, y) = e*ey+1) Ans. f, = el*y+1) S, = e(*+y+1) %3D 1 Ans. f. =- x+ y 1 8) f(x, y) = In(x + y) x+y 9) S(x, y) = sin’(x- 3y) Ans. f. = 2 sin(xr - 3 y)cos(x- 3y), f, =-6 sin(x- 3y) cos(x– 3y) 10) f(x, y) = x Ans. f, = yx', f, =x' In(x) 11) f(x, y) = [g(1)dt, Ans. f, =-g(x), f, = g(y)

Find the Partial Derivatives of the functions with respect to each variable 1 5) f(x, y)=- x+ y -1 -1 Ans. f.=Tr+ v}y (x+ y)* (x+y)* - y² - 1 (ху - 1)? -x -1 x+ y 6) f(x,y)= xy – 1 Ans. f. (ху - 1)* 7) f(x, y) = eey+1) Ans. f, = ely+1) S, = e(*+y+1) %3D 1 Ans. f. =- x+ y 1 8) f(x, y) = In(x + y) x+y 9) S(x, y) = sin’(x- 3y) Ans. f. = 2 sin(xr - 3 y)cos(x- 3y), f, =-6 sin(x- 3y) cos(x– 3y) 10) f(x, y) = x Ans. f, = yx', f, =x' In(x) 11) f(x, y) = [g(1)dt, Ans. f, =-g(x), f, = g(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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