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Matt Just
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The Gradient Vector and Tangent Planes - Overview

In mathematics, the gradient of a function is a vector field that describes the direction and magnitude of the greatest rate of change of the function. The gradient of a function of two or more variables is a vector field in the Cartesian plane whose components are the partial derivatives of the function of multiple variables with respect to each of the variables. The gradient is often denoted by a small letter, such as "d" (or "?") for a scalar function, partial derivative, or gradient vector, or "D" for a matrix of partial derivatives, or tensor gradient.

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Top Educators
Lily An

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Matt Just
Georgia Southern University
Calculus 3

Topics

Mastering Multiple Integrals: Techniques and Tips

Master Vector Calculus with Our Comprehensive Guide
Top Calculus 3 Educators
Lily An

Johns Hopkins University

Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Next Lectures in Calculus 3

04:58

Multivariable Optimization
The Gradient Vector and Tangent Planes - Example 1

04:59

Multivariable Optimization
The Gradient Vector and Tangent Planes - Example 2

03:29

Multivariable Optimization
The Gradient Vector and Tangent Planes - Example 3

05:42

Multivariable Optimization
The Gradient Vector and Tangent Planes - Example 4

33:18

Multivariable Optimization
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01:38

Multivariable Optimization
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06:52

Multivariable Optimization
Extrema of Functions - Example 2

09:20

Multivariable Optimization
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06:47

Multivariable Optimization
Extrema of Functions - Example 4

07:55

Multivariable Optimization
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Multivariable Optimization
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06:55

Multivariable Optimization
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04:59

Multivariable Optimization
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08:13

Multivariable Optimization
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