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Q. 8

Expert-verified

Calculus

Found in: Page 988

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

Describe the meanings of each of the following mathematical expressions:
$\nabla f (x, y)$

Ans: $\nabla f (x, y)$ It means a gradient of function $f$ with a two-dimensional input and a two-dimensional output.

It is nicely visualized with a vector field in two-dimensional space.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

given, $\nabla f (x, y)$

Step 2. The meaning of the given expression is,

$\nabla f (x, y)$ It means a gradient of function $f$ with a two-dimensional input and a two-dimensional output.

It is nicely visualized with a vector field in two-dimensional space.

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