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### Course: Multivariable calculus>Unit 2

Lesson 7: Partial derivatives of vector-valued functions

# Computing the partial derivative of a vector-valued function

When a function has a multidimensional input, and a multidimensional output, you can take its partial derivative by computing the partial derivative of each component in the output. Created by Grant Sanderson.

## Want to join the conversation?

• is there any operator for vector valued functions like gradient(nabla) for scalar functions?
(1 vote)
• Very late but if anyone else is wondering, later in the course plan is the Jacobian matrix which seems like what you're describing, while I'm not sure if it comes in an operator form, it's equivalent to gradient for scalar functions in that it's the "full picture"
(1 vote)
• Is correct to say that a vector value function gives vector position output?
(1 vote)
• From my understanding, a vector valued function gives a vector output, not necessarily a vector position output.