go_derivative.svg" align="middle"></span>

      </p></blockquote></div>
<p>
      The original data is in orange, the smoothing derivative in blue, and the non-smoothing
      standard finite difference formula is in gray. (Each time series has been rescaled
      to fit in the same graph.) We can see that the smoothing derivative tracks
      the increase and decrease in the trend well, whereas the standard finite difference
      formula produces nonsense and amplifies noise.
    </p>
<h4>
<a name="math_