### CALCULUS I

##### Problem Solving Videos

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Limits with Indeterminate Forms Problem 1

Limits with Indeterminate Forms Problem 2

Limits with Indeterminate Forms Problem 3 (expanding)

Limits with Indeterminate Forms Problem 3 (factoring)

Limits with Indeterminate Forms Problem 4

Limits with Indeterminate Forms Problem 5

How to Apply the Limit Definition of the Derivative

Limit Definition of the Derivative Problem 1

Limit Definition of the Derivative Problem 2

Limit Definition of the Derivative Problem 3

Limit Definition of the Derivative f'(x) Problem 1

Limit Definition of the Derivative f'(x) Problem 2

Limit Definition of the Derivative f'(x) Problem 3

Limit Definition of the Derivative f'(x) Problem 4

Limit Definition of the Derivative f'(x) Problem 5

Derivative of the Exponential Function e^x

Tangent Line with Basic Differentiation Rules Problem 1

Tangent Line with Basic Differentiation Rules Problem 2

Tangent Line with Basic Differentiation Rules Problem 3

Horizontal Tangent Line with Basic Differentiation Rules Problem 1

Horizontal Tangent Line with Basic Differentiation Rules Problem 2

Horizontal Tangent Line with Basic Differentiation Rules Problem 3

Horizontal Tangent Line with Basic Differentiation Rules Problem 4

Derivatives of Trigonometric Functions

Product Rule with Trig Functions Problem 1

Product Rule with Trig Functions Problem 2

Product Rule with Trig Functions Problem 3

Quotient Rule with Trig Functions Problem 1

Quotient Rule with Trig Functions Problem 2

Second Derivative with Trig Functions Problem 1

The Chain Rule - Identifying the Outer and Inner Functions

The Chain Rule with Exponential Functions

The Chain Rule with Trig Functions

Shortcuts for the Chain Rule - General Power Rule and General Exponential Rule

Chain Rule with the Product Rule Problem 1

Chain Rule with the Product Rule Problem 2

Chain Rule with the Product Rule Problem 3

Chain Rule with the Quotient Rule Problem 1

Chain Rule with the Quotient Rule Problem 2

Chain Rule with the Quotient Rule Problem 3

Chain Rule Multiple Times Problem 1

Chain Rule Multiple Times Problem 2

Chain Rule Multiple Times Problem 3

##### Full Lecture Videos

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Defining the Derivative, part 1

Defining the Derivative, part 2

The Derivative as a Function, part 1

The Derivative as a Function, part 2

Derivatives of Polynomials and Exponential Functions, part 1

Derivatives of Polynomials and Exponential Functions, part 2

Derivatives of Polynomials and Exponential Functions, part 3

The Product and Quotient Rules, part 1

The Product and Quotient Rules, part 2

Derivatives as Rates of Change

Derivatives of Trigonometric Functions, part 1

Derivatives of Trigonometric Functions, part 2

Derivatives of Inverse Functions, part 1

Derivatives of Inverse Functions, part 2

Derivatives and the Shape of a Graph, part 1

Derivatives and the Shape of a Graph, part 2

Derivatives and the Shape of a Graph, part 3

The Fundamental Theorem of Calculus, part 1

The Fundamental Theorem of Calculus, part 2