# Unit 2

## Intro

Intro

**Differentiation**is one of the most important processes of calculus. Each section involves new methods and rules for finding derivatives of functions. These rules can be used to find such things as velocity, acceleration, and the rates of change of two or more related variables.

## Unit 2 Podcast (coming soon)

Unit 2 Podcast (coming soon)

## 2.1 Derivatives

2.1 Derivatives

**Average Rate of Change****Instantaneous Rate of Change**

**Continuity**

## 2.2 Derivative Rules

2.2 Derivative Rules

## 2.3 Derivatives of Other Forms of Equations

2.3 Derivatives of Other Forms of Equations

## Videos

Videos

### 2.1 The Concept of Derivatives

2.1 The Concept of Derivatives

**Secant Lines and Tangent Lines (conceptual)****Differentiability (conceptual and example problem)****Equation of a Tangent Line (conceptual)****Equation of a Tangent Line (example problem)****Checking a Derivative on a Calculator****Finding the Equation of a Tangent Line on a Calculator****Derivative (conceptual)****Finding Slope at a Point (example problem 1 of 2)****Finding Slope at a Point (example problem 2 of 2)****Derivatives of a Polynomial using Limits (example problem)****Derivatives of the Square Root of x Function Using Limits (example problem)****Derivative of Absolute Value Function using Limits (example problem)****Derivative of Sine and Cosine (conceptual)**

### 2.2 Derivative Rules

2.2 Derivative Rules

**Derivative Rules - Constant Rule (conceptual)****The Constant Rule (example problem)****Derivative Rules - Power Rule (conceptual)****The Power Rule (example problem)****Derivative Rules - Constant Multiple Rule (conceptual)****The Constant Multiple Rule (example problem)****Derivative Rules Sum and Difference Rule (conceptual)****Derivative of Inverse Sine****Exponential and Logarithmic Function Review****Derivative and Antiderivative of a^x (conceptual)****Derivative and Antiderivative of e^x (conceptual)****Differentiation of the Natural Logarithmic Function (conceptual)****Derivative Rules - Product Rule (conceptual)****Product Rule (example problem)****Derivative Rules - Quotient Rule (conceptual)****Quotient Rule (example problem)****Derivative Rules - Chain Rule (conceptual)****Chain Rule (example problem)****Differentiation of a^x (example problem)****Differentiation of e^x (example problem)****Differentiation of the Natural Logarithmic Function (conceptual)****Differentiation of Natural Logs (example problem)****Derivative of an Inverse Function (example problem)**

### 2.3 Differentiation of Other Forms

2.3 Differentiation of Other Forms