If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

# Unit: Derivatives introduction

#### 0

Possible mastery points

## The derivative: An intuitive introduction

Practice
Derivative as slope of curveGet 3 of 4 questions to level up!
Derivative & the direction of a functionGet 3 of 4 questions to level up!

## Estimating derivatives with secant lines and average rate of change

Practice
Secant lines & average rate of changeGet 3 of 4 questions to level up!
Estimate derivativesGet 3 of 4 questions to level up!

#### Quiz 1

Level up on the above skills and collect up to 400 Mastery points

## Tangent lines and local linearity

Practice
The derivative & tangent line equationsGet 3 of 4 questions to level up!
Approximation with local linearityGet 3 of 4 questions to level up!

## Optional videos

#### Quiz 2

Level up on the above skills and collect up to 700 Mastery points
Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 1100 Mastery points!

### About this unit

The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how these two interpretations describe the same thing and how we can define the derivative formally using... limits!