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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Question
Transcribed Image Text:5. Deduce the standard linear approximation of
1
| x²+y2+z2• at Po(1,2,3).
x2+y2+z2'
Expert Solution
Step 1
The general formula of the standard linear approximation for f(x,y,z) is generally given by,
L(x,y,z) = f(a, b, c) + f'x(a, b, c)(x - a) + f'y(a, b, c)(y - b) + f'z(a, b, c)(z - c)
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