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The maximum rate of change of f at the given point is 4y^2/x and it occurs in the positive x-direction.

Ask AI: find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,y) =( (4y^2)/(x)) Point (3, 6)

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Question: find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,y) =( (4y^2)/(x)) Point (3, 6)

Asked by omarta

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Max rate of change: 24 Direction: In the direction of the gradient, (2/3, 4).

Answered by text-davinci-003

March 3, 2023, 9:14 p.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user omarta's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Friday, March 3, 2023

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