Zeros of a Polynomial or Rational Function and Its Derivative @wolframmathematica
Zeros of a Polynomial or Rational Function and Its Derivative  @wolframmathematica
Uploaded December 2017 | Updated September 2026, 1 week ago
demonstrations.wolfram.com/ZerosOfAPolynomialOrRationalFunctionAndItsDerivative

The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.

This Demonstration shows the connection between the real zeros of a function f(x) and those of its derivative f'(x). It is also shown that for rational functions, the asymptotes of the function match those of the derivative. When f(x) is a polynomial, a...

Contributed by: D. Meliga and S. Z. Lavagnino

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Zeros of a Polynomial or Rational Function and Its Derivative

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