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# Unit 2: Derivatives of multivariable functions

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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, and more!

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- 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!

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- 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!

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

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- Multivariable chain rule introGet 3 of 4 questions to level up!
- Multivariable chain ruleGet 3 of 4 questions to level up!

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### Learn

### Learn

### Practice

- Visual parametric surfacesGet 3 of 4 questions to level up!
- Partial derivatives of vector valued functionsGet 3 of 4 questions to level up!

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### Practice

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

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### 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!

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

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