How i can proof that third degree polynomial has a point of inflection.
How i can prove that third-degree polynomial has a point of inflection?
I assume you mean a third-degree polynomial function.
The general cubic function is: .
The first derivative is: .
The second derivative is: .
A point of inflection occurs where
Therefore, there is an inflection point at: .
Consideration of the graph of f(x) = x^4 illustrates why ....