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Calculus I

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Equitable Equations | 87 videos | Updated 4 years ago
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6:50

Introduction to Limits

Equitable Equations

5:09

One-Sided Limits

Equitable Equations

8:10

Infinite Limits and Vertical Asymptotes

Equitable Equations

10:06

Limit Laws

Equitable Equations

3:41

Calculating Limits: Examples

Equitable Equations

12:23

Continuity Using Limits

Equitable Equations

3:42

Continuity Using Limits - Harder Example

Equitable Equations

4:00

Limits of Exponential Functions

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4:32

The average rate of change of a function

Equitable Equations

6:04

The Derivative of a Function at a Point

Equitable Equations

11:49

The Definition of the Derivative as a Function

Equitable Equations

5:15

Definition of the Derivative: Two Examples

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5:01

Sketching Derivatives From Graphs

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6:46

Differentiation Formulas

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5:14

The Product and Quotient Rules

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7:44

Trigonometric Limits

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4:34

Differentiating Trig Functions

Equitable Equations

8:09

The Chain Rule

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4:20

More Differentiation Practice

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5:12

Derivatives of Exponential Functions

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3:36

Differentiating the Natural Logarithm Function

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4:21

Differentiating General Exponential and Logarithmic Functions

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6:48

Implicit Differentiation

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3:02

Implicit Differentiation: Example

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5:27

Logarithmic Differentiation

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3:05

Logarithmic Differentiation Examples

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7:43

Inverse Trig Functions

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4:29

Derivatives of Inverse Trig Functions

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7:25

Applications of the Derivative

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5:30

Related Rates: First Examples

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3:22

Related Rates: The Lamp Post Problem

Equitable Equations

4:03

Related Rates: The Chicago Trains Problem

Equitable Equations

5:15

Linearization and Linear Approximation

Equitable Equations

2:51

Linear Approximation: Example

Equitable Equations

8:26

Critical Points and Extreme Values of Functions

Equitable Equations

2:30

Finding Critical Values: an Example

Equitable Equations

7:50

Absolute Extrema and the Closed Interval Method

Equitable Equations

3:38

Closed Interval Method Example

Equitable Equations

4:34

The First Derivative Test: A Graphical Introduction

Equitable Equations

4:58

The First Derivative Test: Example

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8:02

The First Derivative Test: Another Example

Equitable Equations

6:35

Rational Inequality Example

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4:09

Concavity and points of inflection

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6:29

Concavity & Points of Inflection: Example

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3:09

The Second Derivative Test

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4:10

Second Derivative Test: Example

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3:21

End Behavior

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3:53

Computing Limits at Infinity

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3:56

Computing Limits at Infinity: Three Examples

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5:36

Indeterminate Forms and L'Hopital's Rule

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3:18

Indeterminate Products

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4:26

Indeterminate Differences

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5:51

Curve Sketching: Example I

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5:57

Curve Sketching: Example 2

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11:08

Curve Sketching: Example 3

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6:26

Optimization Using Calculus

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11:16

Optimization Example 2

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6:40

Optimization Example 3

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6:40

Optimization using the First Derivative Test

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9:34

Global Extrema and the First Derivative Test: Example

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6:31

Antiderivatives

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3:59

Three antidifferentiation examples

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2:30

Visual Antidifferentiation

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3:07

Initial Value Problems in Calculus

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8:12

Approximating Area Using Rectangles

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5:41

Approximating Distance In Calculus

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7:33

Area as a Limit

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4:05

The Definition of the Definite Integral

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4:42

The Midpoint Rule

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10:03

Properties of the Definite Integral

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2:01

More properties of the definite integral

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1:34

Using Properties of the Definite Integral: Two Problems

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4:14

Accumulation Functions

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4:29

The First Fundamental Theorem of Calculus

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4:04

First Fundamental Theorem of Calculus: Three Examples

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4:08

The Second Fundamental Theorem of Calculus

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2:31

The Second Fundamental Theorem of Calculus: Examples

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2:22

The Indefinite Integral

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4:07

Integrating Exponential Functions

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2:12

The Net Change Theorem

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4:44

The Substitution Rule for Indefinite Integrals

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3:38

u-Substitution: Two Examples

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3:40

Definite Integrals Using u-Substitution

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3:23

Integration Using Back Substitution

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5:34

Integrals Involving Trigonometric Functions

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7:22

Integrating with Logarithmic and Exponential Functions

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5:17

Integrals Involving Inverse Trig Functions: Harder Examples

Equitable Equations

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