This exercise shows directly (without using Theorem 1) that the function (x, y) = 5x + 4y

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This exercise shows directly (without using Theorem 1) that the function ƒ(x, y) = 5x + 4y² from Example 1 is differentiable at (a, b) = (2, 1).

THEOREM 1 Confirming Differentiability If fx(x, y) and fy(x, y) exist and are con- tinuous on an open disk D,

EXAMPLE 1 Show that f(x, y) = 5x + 4y2 is differentiable on its domain, R.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 09:01 AM

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This exercise shows directly (without using Theorem 1) that the function (x, y) = 5x + 4y

Question:

THEOREM 1 Confirming Differentiability If fx(x, y) and fy(x, y) exist and are con- tinuous on an open disk D, then f(x, y) is differentiable on D.

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Calculus

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