ind the indicated partial derivatives of the function. (a) f(x,y,z) = xy + 2yz +3zx+xª; ƒx‚ ƒy [(b) u(x,t,0) = xe¯t sin 0; ut, up (c) f(x, y) = sin(2x + 3y); fy(-6,4) x [(d) f(x, y, z) = −; f₂(3, 2, 1) Y+z

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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2. Find the indicated partial derivatives of the function.
(a) f(x, y, z) = xy + 2yz +3zx + x³; fx, fy
(b) u(x, t,0) = xe-t sin 0; ut, up
(c) f(x, y) = sin(2x + 3y); fy(-6,4)
X
(d) f(x, y, z) = ; fz (3, 2, 1)
y+z
Transcribed Image Text:2. Find the indicated partial derivatives of the function. (a) f(x, y, z) = xy + 2yz +3zx + x³; fx, fy (b) u(x, t,0) = xe-t sin 0; ut, up (c) f(x, y) = sin(2x + 3y); fy(-6,4) X (d) f(x, y, z) = ; fz (3, 2, 1) y+z
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