polynomial (so trig functions, square roots,
  inverse trig functions, logarithms, etc.) The key idea needed to
  approximate functions is illustrated by the next problem.</p>

  <div class="problem">
    Let $f(x)=e^x$. You should find that your work on each step can
    be reused to do the next step.

    <ul>
      <li>Find a first degree polynomial $P_1(x)=a+bx$ so that
      $P_1(0)=f(0)$ and $P'_1(0)=f'(0)$. In other words, give me a
      line that passes through the same point and has the same
     