### Home > CALC > Chapter 7 > Lesson 7.1.4 > Problem 7-42

7-42.

for {

*:*

Find and

*.*

Identify candidates for minimum values by finding where and where

Evaluate all candidates (except for the endpoints) in the 2nd derivative.

Recall that a LOCAL minimum will exist where (candidate)

*f*''(candidate)

Note: endpoints can be global (not local) minima.

To find the GLOBAL minimum, evaluate and compare (local minimum) with

*(endpoint) and*

*(endpoint*

*).*

The lowest value is the global minimum.