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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a63d390-2125-4e69-bc73-3633da03b78b%2Fa59a9ae8-3cad-4f7e-b122-b85cd583a855%2Fajl2h5j_processed.png&w=3840&q=75)
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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