# Zeros of a Polynomial or Rational Function and Its Derivative

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This Demonstration shows the connection between the real zeros of a function and those of its derivative . It is also shown that for rational functions, the asymptotes of the function match those of the derivative.

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Contributed by: D. Meliga and S. Z. Lavagnino (November 2017)

Additional contributions by: E. Perano

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 2: shows a rational function and its derivative. Besides the zeros of and , we can find the vertical asymptotes of , which can also be found in .

Reference

[1] E. Perano,* Il teorema di Rolle*, Torino, Italy: Edizioni Cortina, 2017.

## Permanent Citation