Differentiate a vector-valued function

Definition

Differentiating a vector-valued function involves finding the derivative of each component of the vector separately. It measures how the vector changes with respect to its independent variable.

Related terms

Tangent Vector: A tangent vector represents the instantaneous rate of change or velocity at any given point on a curve.

Chain Rule for Vector-Valued Functions: The chain rule allows us to find derivatives of composite functions involving vectors.

Parametric Equations:

Parametric equations describe curves by expressing coordinates as functions of an independent parameter.