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Explain why the function is differentiable at the given point. f(x, y) = xбe⁄, (1, 0) and fy(x, y) = , so fx(1, 0) = . Both fx and fy are continuous functions, so f is differentiable at (1, 0). The partial derivatives are fx(x, y) = fy(1, 0) = | Find the linearization L(x, y) of the function at (1, 0). L(x, y) = and

Explain why the function is differentiable at the given point. f(x, y) = xбe⁄, (1, 0) and fy(x, y) = , so fx(1, 0) = . Both fx and fy are continuous functions, so f is differentiable at (1, 0). The partial derivatives are fx(x, y) = fy(1, 0) = | Find the linearization L(x, y) of the function at (1, 0). L(x, y) = and

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Explain why the function is differentiable at the given point. f(x, y) = xºe, (1, 0) and f(x, y) = Both fx and fy are continuous functions, so f is differentiable at (1, 0). The partial derivatives are fx(x, y) = fy(1, 0) = Find the linearization L(x, y) of the function at (1, 0). L(x, y) = I so fx(1, 0) = and
Transcribed Image Text:Explain why the function is differentiable at the given point. f(x, y) = xºe, (1, 0) and f(x, y) = Both fx and fy are continuous functions, so f is differentiable at (1, 0). The partial derivatives are fx(x, y) = fy(1, 0) = Find the linearization L(x, y) of the function at (1, 0). L(x, y) = I so fx(1, 0) = and
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