Prove that if f is a function of two variables that is differentiable at (a, b), then

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Prove that if f is a function of two variables that is differentiable at (a, b), then f is continuous at (a, b).

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 10, 2019 08:44 AM

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Prove that if f is a function of two variables that is differentiable at (a, b), then

Question:

f(a + Ax, b + Ay) = f(a, b) lim (Ax, Ay)-(0, 0)

Step by Step Answer:

To show that f is continuous at a b we need to show that lim fx y fa b or xy ...View the full answer

Calculus Early Transcendentals

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