Main content
Unit 2: Derivatives of multivariable functions
2,100 possible mastery points
Mastered
Proficient
Familiar
Attempted
Not started
Quiz
Unit test
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!Learn
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!
Learn
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!
Learn
Practice
- Vector-valued functions differentiationGet 3 of 4 questions to level up!
- Parametric velocity and speedGet 3 of 4 questions to level up!
Learn
Practice
- Multivariable chain rule introGet 3 of 4 questions to level up!
- Multivariable chain ruleGet 3 of 4 questions to level up!
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!
Learn
Practice
- Visual divergenceGet 3 of 4 questions to level up!
- Finding divergenceGet 3 of 4 questions to level up!
Learn
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!
Learn
Practice
- Finding the JacobianGet 3 of 4 questions to level up!
- Jacobian determinantGet 3 of 4 questions to level up!
Up next for you:
Level up on all the skills in this unit and collect up to 2100 Mastery points!