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Derivatives: Intro - 01. Introduction

Derivatives: Intro - 02. Definition

Derivatives: Intro - 03. Example (first version)

Derivatives: Intro - 04. Example (second version)

Derivatives: Intro - 05. Derivative As a Function

Derivatives: Intro - 06. Notation

Derivatives: Intro - 07. Example

Derivatives: Intro - 08. Derivative of sin(x)

Derivatives: Intro - 09. Derivative of cos(x)

Derivatives: Intro - 10. Differentiable Implies Continuous

Derivatives: Intro - 11. Example

Derivatives: Basic Rules - 01. Simplest

Derivatives: Basic Rules - 02. Power Rule

Derivatives: Basic Rules - 03. Example

Derivatives: Basic Rules - 04. Exponential function

Derivatives: Basic Rules - 05. Constant and Sum Rules

Derivatives: Basic Rules - 06. Proofs

Derivatives: Basic Rules - 07. Examples

Derivatives: Basic Rules - 08. Higher Order Derivatives

Derivatives: Basic Rules - 09. Examples

Derivatives: Product and Quotient - 01. Product Intro

Derivatives: Product and Quotient - 02. Product Example

Derivatives: Product and Quotient - 03. Proof of Product rule

Derivatives: Product and Quotient - 04. Example

Derivatives: Product and Quotient - 05. Example With 3 Functions

Derivatives: Product and Quotient - 06. Example With 4 Functions

Derivatives: Product and Quotient - 07. Quotient Rule

Derivatives: Product and Quotient - 08. Example

Derivatives: Product and Quotient - 09. tan(x)

Derivatives: Product and Quotient - 10. Negative Powers

Derivatives: Product and Quotient - 11. Example - simplify first

Derivatives: Chain - 01. Intro

Derivatives: Chain - 02. Theorem

Derivatives: Chain - 03. Examples

Derivatives: Chain - 04. Examples

Derivatives: Chain - 05. Example With 3 Functions

Derivatives: Chain - 06. General Power and Exponential

Derivatives: Implicit - 01. Intro

Derivatives: Implicit - 02. Circle

Derivatives: Implicit - 03. Example

Derivatives: Implicit - 04. Tangent Line For Previous Example

Derivatives: Implicit - 05. Example

Derivatives: Implicit - 06. Example

Derivatives: Implicit - 07. Second Derivative

Derivatives: Implicit - 08. Example

Derivatives: Implicit - 09. Logarithmic

Derivatives: Implicit - 10. Using inverse relationship of ln and exp

Derivatives: Implicit - 11. Example

Derivatives: Inverse - 01. Intro

Derivatives: Inverse - 02. Properties

Derivatives: Inverse - 03. Examples

Derivatives: Inverse - 04. Inverse Function Theorem

Derivatives: Inverse - 05. Restricting Domain

Derivatives: Inverse - 06. Derivative of arcsin

Derivatives: Inverse - 07. Derivative of arctan

Description:

Explore the fundamentals of calculus in this comprehensive video series on derivatives. Begin with an introduction to the concept, learn the definition, and work through various examples to solidify understanding. Dive into basic rules, including the power rule, exponential function, and constant and sum rules, with proofs and practical applications. Progress to more advanced topics such as product and quotient rules, chain rule, implicit differentiation, and inverse functions. Master the differentiation of trigonometric functions and their inverses, and gain insight into higher-order derivatives. Through numerous examples and step-by-step explanations, develop a strong foundation in calculus and enhance problem-solving skills in this essential mathematical subject.

APEX Calculus - Derivatives

Sean Fitzpatrick

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#Mathematics #Calculus #Business #Finance #Trading #Derivatives #Chain Rule #Inverse Functions #Trigonometric Functions #Implicit Differentiation #Product Rule #Quotient Rule #Power Rule