Explain why the function is differentiable at the given point. f(x, y) = y tan(x), (2, 6) The partial derivatives are f(x, y) = y sec²(x) nd r₂(₁6)-(1 a +/ and f(x, y) =tan(x) sor (₁6) - 4 , *Using n as an arbitrary integer, both f, and f, are continuous functions for so f is differentiable at at (#, 6). x πn + Find the linearization L(x, y) of the function at (, 6). L(x, y) = 4x-y-xx x

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) = y tan(x), (6)
The partial derivatives are f(x, y) = y sec²(x)
dr ( ₁6 ) - (-1
and f
x π/1 +
and f(x, y) =tan(x)
50% (= 6) - [4
x. Using n as an arbitrary integer, both f, and f, are continuous functions for
t(²,6).
, so f is differentiable at
Find the linearization L(x, y) of the function at
L(x, y)
4x-y-xx
Transcribed Image Text:Explain why the function is differentiable at the given point. f(x, y) = y tan(x), (6) The partial derivatives are f(x, y) = y sec²(x) dr ( ₁6 ) - (-1 and f x π/1 + and f(x, y) =tan(x) 50% (= 6) - [4 x. Using n as an arbitrary integer, both f, and f, are continuous functions for t(²,6). , so f is differentiable at Find the linearization L(x, y) of the function at L(x, y) 4x-y-xx
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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,