 when we are done.</li>

      <li>What are $\partial f/\partial u$ and $\partial f/\partial
      v$? [Hint: remember, each input variable gets a column.]</li>
    </ol>
  </div>

  <div class="problem">
    Let $\vec F(s,t) = (2s+t,3s-4t,t)$ and $s=3pq$ and $t=2p+q^2$.
    This means that changing $p$ and/or $q$ should cause $\vec F$
    to change. Our goal is to find $\partial \vec F/\partial p$ and
    $\partial \vec F/\partial q$. Note that since $\vec F$ is a
    vector-valued function, the two partia