Let a differentiable function g and f(x,y) = g(x²y²), g(4) = 4, g'(4) = 1 be given. Then, find the value of f(0.9,2.1) by using linearization of the function f(x, y) at (x, y) = (1,2). E)6.3 A) 2.8 B)3.6 C)4.4 D)5.2

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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Let a differentiable function g and f(x,y) = g(x²y²), g(4) = 4, g'(4) = 1 be given. Then, find the
value of f(0.9,2.1) by using linearization of the function f(x, y) at (x, y) = (1,2).
A) 2.8
B)3.6
C)4.4
D)5.2
E)6.3
Transcribed Image Text:Let a differentiable function g and f(x,y) = g(x²y²), g(4) = 4, g'(4) = 1 be given. Then, find the value of f(0.9,2.1) by using linearization of the function f(x, y) at (x, y) = (1,2). A) 2.8 B)3.6 C)4.4 D)5.2 E)6.3
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