2. Calculus
  3. Applications of Differentiation

Micro-courses:15

1.

Derivatives

6 Concepts

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4.

Integrals

17 Concepts

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10.

Sequences and Series

16 Concepts

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11.

Vectors in Space

10 Concepts

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Applications of Differentiation

19 Concepts5.7k Views
Absolute and Local Extreme Values
01:22

1.
Absolute and Local Extreme Values

Critical Numbers and the Closed Interval Method
01:21

2.
Critical Numbers and the Closed Interval Method

Rolle’s Theorem
01:09

3.
Rolle’s Theorem

The Mean Value Theorem
01:26

4.
The Mean Value Theorem

First Derivatives and the Shape of a Graph
01:22

5.
First Derivatives and the Shape of a Graph

First Derivative Test: Problem Solving
01:25

6.
First Derivative Test: Problem Solving

Second Derivatives and the Shape of a Graph
01:29

7.
Second Derivatives and the Shape of a Graph

Second Derivative Test: Problem Solving
01:24

8.
Second Derivative Test: Problem Solving

Curve Sketching and Derivatives
01:22

9.
Curve Sketching and Derivatives

Indeterminate Forms and L’Hôpital’s Rule
01:27

10.
Indeterminate Forms and L’Hôpital’s Rule

Indeterminate Products
01:29

11.
Indeterminate Products

Guidelines for Sketching a Curve
01:23

12.
Guidelines for Sketching a Curve

Slant Asymptotes
01:27

13.
Slant Asymptotes

Optimization Problems
01:26

14.
Optimization Problems

Application of Differentiation to Business
01:29

15.
Application of Differentiation to Business

Newton’s Method
01:30

16.
Newton’s Method

The Antiderivative of a Function
01:28

17.
The Antiderivative of a Function

Graphing Antiderivatives
01:30

18.
Graphing Antiderivatives

Application of Antiderivatives: Linear Motion
01:26

19.
Application of Antiderivatives: Linear Motion