Welcome back, !

Enjoy all of our summer bootcamps with your free account.
View Numerade's Terms & Conditions and Refund Policy

Like

Matt Just
Numerade Educator

Like

Report

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.

Topics

No Related Subtopics

Discussion

You must be signed in to discuss.
Top Educators
Lily An

Johns Hopkins University

Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Recommended Videos

Recommended Quiz

Calculus 3

Create your own quiz or take a quiz that has been automatically generated based on what you have been learning. Expose yourself to new questions and test your abilities with different levels of difficulty.

Create your own quiz

Recommended Books

Book Cover for Advanced Calculus

Advanced Calculus

Book Cover for Introduction to Smo…

Introduction to Smooth Manifolds

Book Cover for Calculus

Calculus

Book Cover for Calculus for AP

Calculus for AP

Book Cover for Calculus Concepts

Calculus Concepts

Book Cover for Elementary Calculus

Elementary Calculus

Video Transcript

No transcript available

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
Extrema of Functions - Overview

01:38

Multivariable Optimization
Extrema of Functions - Example 1

06:52

Multivariable Optimization
Extrema of Functions - Example 2

09:20

Multivariable Optimization
Extrema of Functions - Example 3

06:47

Multivariable Optimization
Extrema of Functions - Example 4

07:55

Multivariable Optimization
Lagrange Multipliers - Overview

04:57

Multivariable Optimization
Lagrange Multipliers - Example 1

06:55

Multivariable Optimization
Lagrange Multipliers - Example 2

04:59

Multivariable Optimization
Lagrange Multipliers - Example 3

08:13

Multivariable Optimization
Lagrange Multipliers - Example 4

Add to Playlist

You must be logged in to bookmark a video.

I have an account. Click to log in.
Email
Password
Forgot Password
I don't have an account. Click to sign up.