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# Unit: Derivatives of multivariable functions

#### 0

Possible mastery points

## Partial derivatives

Practice
Basic partial derivativesGet 3 of 4 questions to level up!
Finding partial derivativesGet 3 of 4 questions to level up!
Higher order partial derivativesGet 3 of 4 questions to level up!

#### Quiz 1

Level up on the above skills and collect up to 300 Mastery points

## Gradient and directional derivatives

Practice
Finding gradientsGet 3 of 4 questions to level up!
Visual gradientGet 3 of 4 questions to level up!
Finding directional derivativesGet 3 of 4 questions to level up!

## Partial derivative and gradient (articles)

#### Quiz 2

Level up on the above skills and collect up to 300 Mastery points

## Differentiating parametric curves

Practice
Vector-valued functions differentiationGet 3 of 4 questions to level up!
Parametric velocity and speedGet 3 of 4 questions to level up!

## Multivariable chain rule

#### Quiz 3

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## Divergence

Practice
Visual divergenceGet 3 of 4 questions to level up!
Finding divergenceGet 3 of 4 questions to level up!

#### Quiz 4

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

## Curl

Practice
Visual curlGet 3 of 4 questions to level up!
Finding curl in 2DGet 3 of 4 questions to level up!
Finding curl in 3DGet 3 of 4 questions to level up!
Symbols practice: The gradientGet 3 of 4 questions to level up!

## Divergence and curl (articles)

#### Quiz 5

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

## Laplacian

Practice
Finding the LaplacianGet 3 of 4 questions to level up!

## Jacobian

Practice
Finding the JacobianGet 3 of 4 questions to level up!
Jacobian determinantGet 3 of 4 questions to level up!

#### Quiz 6

Level up on the above skills and collect up to 300 Mastery points
Up next for you:

#### Unit test

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### About this unit

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, etc.