Explain why the function is differentiable at the given point. 4x f(x, y) = y + sin (0, 6) The partial derivatives are f,(x, y) = and f,(x, y) = , so f,(0, 6) = and f,(0, 6) = . Both fy and f, are continuous functions for ---Select- e , so f is differentiable at (0, 6). Find the linearization L(x, y) of the function at (0, 6). L(x, y) = Need Heln? Dead It

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Explain why the function is differentiable at the given point.
4х
f(x, у) %3D у + sin
()
(0, 6)
The partial derivatives are f,(x, y)
fy(x, y) =
so f,(0, 6) =
and f,(0, 6)
Both f, and f, are continuous functions for
and f.
%3D
%3D
---Select---
so f is differentiable at (0, 6).
Find the linearization L(x, y) of the function at (0, 6).
L(x, y) =
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Transcribed Image Text:Explain why the function is differentiable at the given point. 4х f(x, у) %3D у + sin () (0, 6) The partial derivatives are f,(x, y) fy(x, y) = so f,(0, 6) = and f,(0, 6) Both f, and f, are continuous functions for and f. %3D %3D ---Select--- so f is differentiable at (0, 6). Find the linearization L(x, y) of the function at (0, 6). L(x, y) = Need Help? Read It
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