af and ду af For the following functions find (a) f(x,y) = x + 2y + 3 (b) f(x,y) = x² + y? (c) f(x,y) = x³+ xy + y³ %3D (d) f(x,y) = xª + xy³ + 2x³y? (e) f(x,y, z) = xy+yz

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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Partial Derivatives, Simply only and box the final ans.

1. For the following functions find
af
af
and
ду
(a) f(x,y) = x + 2y+3
(b) f(x, y) = x² + y?
(c) f(r,y) = x³ + xy+ y³
(d) f(x,y) = xª + xy³ + 2x³y²
(e) f(x,y, z) = xy + yz
2. For the functions of Exercise 1 (a) to (d) find f«(1,1), f#(-1,-1), fy(1,2), fy(2, 1).
Transcribed Image Text:1. For the following functions find af af and ду (a) f(x,y) = x + 2y+3 (b) f(x, y) = x² + y? (c) f(r,y) = x³ + xy+ y³ (d) f(x,y) = xª + xy³ + 2x³y² (e) f(x,y, z) = xy + yz 2. For the functions of Exercise 1 (a) to (d) find f«(1,1), f#(-1,-1), fy(1,2), fy(2, 1).
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