Question

How do you find the exact relative maximum and minimum of the polynomial function of `x^3+3x^2-5x=f(x)`?

Answer 1

Derive the first and second derivatives to find the specific points, then look at the signs of each.

Explanation:

With a cubic equation you will have more than one. From calculus you can derive the first and second derivatives to find the specific point.
Then apply the inflection point rules – the graphs show why the values are what they are.