Chapter 14: Partial Derivatives

Navigation: Home > Chapters > Chapter 14

Course

MATH241 (Calculus IV)

Overview

This chapter covers Partial Derivatives from Stewart Calculus 9th Edition.

Each section contains:

Sections

Section 14.1: Functions of Several Variables

Skill Description Difficulty
Functions of Three or More Variables Partial Derivatives Intermediate
Functions of Two Variables Partial Derivatives Intermediate
Graphs of Functions Partial Derivatives Intermediate
Level Curves and Contour Maps Partial Derivatives Intermediate

Section 14.2: Limits and Continuity

Skill Description Difficulty
Continuity of Multivariable Functions Partial Derivatives Intermediate
Limits of Multivariable Functions Partial Derivatives Intermediate

Section 14.3: Partial Derivatives

Skill Description Difficulty
Higher Partial Derivatives Partial Derivatives Intermediate
Partial Derivative Notation Partial Derivatives Intermediate
Partial Derivatives Partial Derivatives Intermediate

Section 14.4: Tangent Planes and Linear Approximations

Skill Description Difficulty
Differentials of Multivariable Functions Partial Derivatives Intermediate
Linear Approximations Partial Derivatives Intermediate
Tangent Planes Partial Derivatives Intermediate

Section 14.5: The Chain Rule

Skill Description Difficulty
Chain Rule for Multivariable Functions Partial Derivatives Intermediate
Implicit Differentiation (Multivariable) Partial Derivatives Intermediate

Section 14.6: Directional Derivatives and the Gradient Vector

Skill Description Difficulty
Directional Derivatives Partial Derivatives Intermediate
The Gradient Vector Partial Derivatives Intermediate

Section 14.7: Maximum and Minimum Values

Skill Description Difficulty
Absolute Extrema on Closed Regions Partial Derivatives Intermediate
Critical Points of Multivariable Functions Partial Derivatives Intermediate
Second Derivative Test (2D) Partial Derivatives Intermediate

Section 14.8: Lagrange Multipliers

Skill Description Difficulty
Lagrange Multipliers Partial Derivatives Advanced
Lagrange with Two Constraints Partial Derivatives Advanced

Prerequisites

Before starting Chapter 14, review relevant prerequisite skills from earlier chapters.

Previous Up Next
Chapter 13 Home Chapter 15