# Derivatives

Everything you need to learn how to take derivatives like a machine.

### One

#### What are Derivatives?

A quick introduction to what derivatives are so that everything else makes sense.

### Two

#### How does a computer take derivatives?

What is the general logic that allows a rather simple program to compute infinitely many derivatives?

• Quick Refresher
• Lesson

### Three

#### The Power Rule

The backbone of differentiation is the remarkably simple power rule. Understanding it fully is key.

### Four

#### Exponentials and Logarithms

Two more functions that appear repeatedly in any Calculus course and have easy derivatives.

### Five

#### Trigonometric Functions

Learn how to differentiate this versatile family of functions. You want to memorize these derivatives.

### Six

#### Sum Rule and Constant Multiples

The easiest rule in Calculus is the sum rule so make sure you understand it.

• Quick Refresher
• Lesson
• Worksheet

### Seven

#### Product Rule

Products are not as nice as sums, but learn the rule and differentiate any product.

### Eight

#### Quotient Rule

The quotient rule is as straight-forward as the product rule, but you need to memorize a little bit more.

### Nine

#### Chain Rule

If nothing else works then you're likely dealing with a composition of functions requiring the chain rule.

### Ten

#### Logarithmic Differentiation

One final type of function requires logarithmic differentiation.

• Quick Refresher
• Lesson