2. Calculus
  3. Partial Derivatives and Gradients

Functions of Two Variables
01:21

1.
Functions of Two Variables

Graphs of Two-Variable Functions
01:27

2.
Graphs of Two-Variable Functions

Level Curves and Contour Maps
01:22

3.
Level Curves and Contour Maps

Functions of Three or More Variables
01:31

4.
Functions of Three or More Variables

Limits of Multivariable Functions
01:25

5.
Limits of Multivariable Functions

Properties of Limits in Multivariable Calculus
01:27

6.
Properties of Limits in Multivariable Calculus

Continuity for Functions of Multiple Variables
01:27

7.
Continuity for Functions of Multiple Variables

Introduction to Partial Derivatives
01:25

8.
Introduction to Partial Derivatives

Interpretations of Partial Derivatives
01:14

9.
Interpretations of Partial Derivatives

Multivariable Functions and Higher Derivatives
01:30

10.
Multivariable Functions and Higher Derivatives

Partial Differential Equations
01:21

11.
Partial Differential Equations

Tangent Planes to Surfaces
01:19

12.
Tangent Planes to Surfaces

Linear Approximations
01:23

13.
Linear Approximations

Multivariable Chain Rule
01:29

14.
Multivariable Chain Rule

Implicit Differentiation with Partial Derivatives
01:27

15.
Implicit Differentiation with Partial Derivatives

Directional Derivatives
01:26

16.
Directional Derivatives

Gradient Vectors and Their Applications
01:19

17.
Gradient Vectors and Their Applications

Maximizing the Directional Derivative
01:25

18.
Maximizing the Directional Derivative

Tangent Planes to Level Surfaces
01:31

19.
Tangent Planes to Level Surfaces

Significance of the Gradient Vector
01:27

20.
Significance of the Gradient Vector

Local Maximum and Minimum Values
01:31

21.
Local Maximum and Minimum Values

Lagrange Multipliers: One Constraint
01:29

22.
Lagrange Multipliers: One Constraint

Lagrange Multipliers: Two Constraints
01:28

23.
Lagrange Multipliers: Two Constraints

Lagrange Multipliers: Problem Solving
01:30

24.
Lagrange Multipliers: Problem Solving