Find the Local and Absolute Extreme Values of the Function $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 9 x + 4$

question 1

Short Answer

Find the local and absolute extreme values of the function on the given interval. $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 9 x + 4$ , $[ 2,4 ]$

---

Definitions:

Preserving

The process of maintaining or keeping something in its original state or in good condition over time.

Restoring

The process of bringing something back to its original condition or state, often applied to antiques, artworks, ecosystems, and historical buildings.

Environmentalism

A social movement aimed at protecting the natural environment from degradation and pollution.

Preservation

The act of maintaining something in its original or existing state to prolong its life or prevent decay.