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Differential Calculus Topics

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1. Limits

1.1

Introduction to Calculus - Limits

1.2

Finding limits from graphs

1.3

Limit laws

1.4

Continuity

1.5

Finding limits algebraically - direct substitution

1.6

Finding limits algebraically - when direct substitution is not possible

1.7

Infinite limits - vertical asymptotes

1.8

Limits at infinity - horizontal asymptotes

1.9

Intermediate value theorem

1.10

Squeeze theorem

2. Differentiation

2.1

Definition of derivative

2.2

Estimating derivatives from a table

2.3

Power rule

2.4

Slope and equation of tangent line

2.5

Chain rule

2.6

Derivative of trigonometric functions

2.7

Derivative of exponential functions

2.8

Product rule

2.9

Quotient rule

2.10

Implicit differentiation

2.11

Derivative of inverse trigonometric functions

2.12

Derivative of logarithmic functions

2.13

Higher order derivatives

3. Applications of differentiation

3.1

Position velocity acceleration

3.2

Critical number & maximum and minimum values

3.3

3.4

3.5

3.6

3.7

3.8

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