How do you find the exact relative maximum and minimum of the polynomial function of #f(x)=2x^3+x^2-11x#?
1 Answer
The relative minimum is
Explanation:
The function is
We calculate the first derivative
The critical points are when
We solve this like a quadratic equation, we start by calculating the discriminant
As
The solutions are
We calculate the second derivative
Therefore,
graph{2x^3+x^2-11x [-30.5, 27.21, -10.8, 18.08]}