Explain why the function is differentiable at the given point. f(x, y) = 7+ x In(xy-7), (4,2) The partial derivatives are f(x, y) = --Select-, so f is differentiable at (4, 2). Find the linearization L(x, y) of f(x, y) at (4, 2). L(x, y) = and f(x, y) = , so f(4,2)= and f,(4, 2) = [ Both f and fare continuous functions for
Explain why the function is differentiable at the given point. f(x, y) = 7+ x In(xy-7), (4,2) The partial derivatives are f(x, y) = --Select-, so f is differentiable at (4, 2). Find the linearization L(x, y) of f(x, y) at (4, 2). L(x, y) = and f(x, y) = , so f(4,2)= and f,(4, 2) = [ Both f and fare continuous functions for
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) = 7+ x In(xy-7), (4,2)
The partial derivatives are f(x, y) =
--Select-, so f is differentiable at (4, 2).
Find the linearization L(x, y) of f(x, y) at (4, 2).
L(x, y) =
and f(x, y) =
, so f (4, 2) = [
and f,(4,2)=[
Both fx and fy are continuous functions for](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb29ff817-7b8d-4056-886e-42f43ca6da22%2Fe98ce674-1300-4111-a5a7-90aab08f49de%2Fwraf77p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Explain why the function is differentiable at the given point.
f(x, y) = 7+ x In(xy-7), (4,2)
The partial derivatives are f(x, y) =
--Select-, so f is differentiable at (4, 2).
Find the linearization L(x, y) of f(x, y) at (4, 2).
L(x, y) =
and f(x, y) =
, so f (4, 2) = [
and f,(4,2)=[
Both fx and fy are continuous functions for
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