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Explain why the function is differentiable at the given point. f(x, y) = 3 +exycos(y), (,0) The partial derivatives aref (x, y) = and f(x, y) = ,so fx(π, 0) = and f,(,0) = . Both fx and fy are continuous functions, so f is differentiable at (,0).

Explain why the function is differentiable at the given point. f(x, y) = 3 +exycos(y), (,0) The partial derivatives aref (x, y) = and f(x, y) = ,so fx(π, 0) = and f,(,0) = . Both fx and fy are continuous functions, so f is differentiable at (,0).

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.

Explain why the function is differentiable at the given point. f(x, y) = 3 + e-xycos(y), (,0) The partial derivatives aref (x, y) = Find the linearization L(x, y) of f(x, y) at (π, 0). L(x, y) = and f (x, y) = ,so fx(π, 0) = and fy(π, 0) = . Both fx and fy are continuous functions, so f is differentiable at (1, 0).
Transcribed Image Text:Explain why the function is differentiable at the given point. f(x, y) = 3 + e-xycos(y), (,0) The partial derivatives aref (x, y) = Find the linearization L(x, y) of f(x, y) at (π, 0). L(x, y) = and f (x, y) = ,so fx(π, 0) = and fy(π, 0) = . Both fx and fy are continuous functions, so f is differentiable at (1, 0).
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