Homework SoursePerform Optimization I for the function fx x3 6x2 on the cl
Perform Optimization I for the function f(x)= x^3 - 6x^2 on the closed interval [2,5]. Critical Numbers is x=4 and x=0
1. find the values of the original function f(x) and the ends of the given interval and for the critical number.
1. find the values of the original function f(x) and the ends of the given interval and for the critical number.
Solution
critical number is a point where f\'(x)=0 f\'(x) =3x2-12 x 3x2-12 x=0 3x(x-4)=0 x=0 and x=4 o is out of the domain so x=4 is the only critial number so f(4)=0 f(2)=-12 f(5)=15![Perform Optimization I for the function f(x)= x^3 - 6x^2 on the closed interval [2,5]. Critical Numbers is x=4 and x=0 1. find the values of the original functi](/WebImages/34/perform-optimization-i-for-the-function-fx-x3-6x2-on-the-cl-1101239-1761581903-0.webp "Perform Optimization I for the function f(x)= x^3 - 6x^2 on the closed interval [2,5]. Critical Numbers is x=4 and x=0 1. find the values of the original functi")
