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
icon
Related questions
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
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
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,