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## Multivariable calculus

### Course: Multivariable calculus>Unit 2

Lesson 7: Partial derivatives of vector-valued functions

# Partial derivative of a parametric surface, part 2

Taking the same example surface used in the last example, we now take a look at the partial derivative in the other direction. Created by Grant Sanderson.

## Want to join the conversation?

• We can see in this e.g that there are 2 vectors which are tangent on the point you have mentioned, one vector we get from the partial derivative with respect to "t" and the other vector we get from the partial derivative with respect to "s". If we now also draw a plane which is tangent on the point you have mentioned would those 2 vectors be lying on this plane? I am asking this because you were talking about a plane tangent to this point.