A Function Is Given $U ( x ) = 2 \left( x ^ { 3 } - x \right)$

question 73

Essay

A function is given.
(a) Find all the local maximum and minimum values of the function and the value of x at which each occurs.
(b) Find the intervals on which the function is increasing and on which the function is decreasing. State all answers correct to two decimal places.
$U ( x ) = 2 \left( x ^ { 3 } - x \right)$

---

Definitions:

Criminal Actions

Legal proceedings brought by the state against individuals or entities accused of violating criminal law.

Subject-Matter Jurisdiction

The jurisdiction of a court to preside over certain types of cases or those concerning particular topics.

Limitation

The legally specified period within which an action can be brought, such as a lawsuit or prosecution, after which legal proceedings may not be initiated.

Original Jurisdiction

The power of a court to take a case, try it, and decide it.