Thread: Prove the maximum number of critical points.

Let be a polynomial of degree

What is the maximum number of critical points can have? For each give an example, with proof, of a polynomial having the maximum number for that

Answer the same question with "maximum" replaced with "minimum."

Originally Posted by cgiulz

Let be a polynomial of degree

What is the maximum number of critical points can have? For each give an example, with proof, of a polynomial having the maximum number for that

Answer the same question with "maximum" replaced with "minimum."

A critical point of a function is where its first derivative vanishes, so...

Tonio