 of <span class="emphasis"><em>h</em></span> that minimizes the
      maximum total error. For this reason boost's <code class="computeroutput"><span class="identifier">finite_difference_derivative</span></code>
      does not require the user to input a stepsize. For more details about the theoretical
      error analysis involved in finite-difference approximations to the derivative,
      see <a href="http://web.archive.org/web/20150420195907/http://www.uio.no/studier/emner/matnat/math/MAT-INF1100/h08/ko