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.

# Unit: Derivatives of multivariable functions

#### 0

Possible mastery points

What does it mean to take the derivative of a function whose input lives in multiple dimensions? What about when its output is a vector? Here we go over many different ways to extend the idea of a derivative to higher dimensions, including partial derivatives​, directional derivatives, the gradient, vector derivatives, divergence, curl, and more!

## Partial derivatives

### Practice

#### Quiz 1

Level up on the above skills and collect up to 240 Mastery points

## Partial derivative and gradient (articles)

#### Quiz 2

Level up on the above skills and collect up to 240 Mastery points

## Multivariable chain rule

### Practice

#### Quiz 3

Level up on the above skills and collect up to 320 Mastery points

## Divergence

### Practice

#### Quiz 4

Level up on the above skills and collect up to 320 Mastery points

## Divergence and curl (articles)

#### Quiz 5

Level up on the above skills and collect up to 320 Mastery points

## Jacobian

### Practice

#### Quiz 6

Level up on the above skills and collect up to 240 Mastery points
Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 2100 Mastery points!