Defining and Differentiating Vector-Valued Functions

This study guide covers vector-valued functions. It begins with a review of vectors, including their magnitude, direction, and representation as $<x, y>$. It then introduces vector-valued functions $r(t)=<f(t), g(t)>$ and how to find their derivatives $r'(t)$. Finally, it provides practice problems on finding the derivative of vector-valued functions and applying them to particle motion (velocity vectors).