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Calculus
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The Velocity Problem | Part I: Numerically
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Playlist (50 of 62 videos)
Playlist (50 of 62 videos)
1
The Velocity Problem | Part I: Numerically
7:52
2
The Velocity Problem | Part II: Graphically
7:14
3
A Tale of Three Functions | Intro to Limits Part I
4:16
4
A Tale of Three Functions | Intro to Limits Part II
8:05
5
What is an infinite limit?
4:26
6
Limit Laws | Breaking Up Complicated Limits Into Simpler Ones
6:16
7
Building up to computing limits of rational functions
3:36
8
Limits of Oscillating Functions and the Squeeze Theorem
6:59
9
Top 4 Algebraic Tricks for Computing Limits
7:10
10
A Limit Example Combining Multiple Algebraic Tricks
7:23
11
Limits are simple for continuous functions
7:21
12
Were you ever exactly 3 feet tall? The Intermediate Value Theorem
4:00
13
Example: When is a Piecewise Function Continuous?
3:18
14
Limits "at" infinity
6:36
15
Computing Limits at Infinity for Rational Functions
7:08
16
Infinite Limit vs Limits at Infinity of a Composite Function
9:50
17
The most important limit in Calculus // Geometric Proof & Applications
11:54
18
Definition of the Derivative | Part I
6:01
19
Applying the Definition of the Derivative to 1/x
5:46
20
Definition of Derivative Example: f(x) = x + 1/(x+1)
6:37
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The derivative of a constant and of x^2 from the definition
5:20
22
Derivative Rules: Power Rule, Additivity, and Scalar Multiplication
7:26
23
How to Find the Equation of a Tangent Line
5:15
24
The derivative of e^x.
2:10
25
The product and quotient rules
5:43
26
The derivative of Trigonometric Functions
5:39
27
Chain Rule: the Derivative of a Composition
5:28
28
Interpreting the Chain Rule Graphically
5:14
29
The Chain Rule using Leibniz notation
5:37
30
Implicit Differentiation | Differentiation when you only have an equation, not an explicit function
7:09
31
Derivative of Inverse Trig Functions via Implicit Differentiation
4:42
32
The Derivative of ln(x) via Implicit Differentiation
4:59
33
Logarithmic Differentiation | Example: x^sinx
3:37
34
Intro to Related Rates
6:35
35
Linear Approximations | Using Tangent Lines to Approximate Functions
9:49
36
The MEAN Value Theorem is Actually Very Nice
7:37
37
Relative and Absolute Maximums and Minimums | Part I
4:38
38
Relative and Absolute Maximums and Minimums | Part II
7:23
39
Concavity and the 2nd Derivative Test
9:50
40
Using L'Hopital's Rule to show that exponentials dominate polynomials
9:25
41
Applying L'Hopital's Rule to Exponential Indeterminate Forms
7:59
42
Ex: Optimizing the Volume of a Box With Fixed Surface Area
11:36
43
Folding a wire into the largest rectangle | Optimization example
6:59
44
Optimization Example: Minimizing Surface Area Given a Fixed Volume
9:37
45
Tips for Success in Flipped Classrooms + OMG BABY!!!
8:34
46
What's an anti-derivative?
6:07
47
Solving for the constant in the general anti-derivative
4:11
48
The Definite Integral Part I: Approximating Areas with rectangles
5:38
49
The Definite Integral Part II: Using Summation Notation to Define the Definite Integral
9:17
50
The Definite Integral Part III: Evaluating From The Definition
6:55
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