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no calculator Without a calculator, determine the minimum value of  for . Use the second derivative to justify that your value is a minimum. Homework Help ✎

Find and .

Identify candidates for minimum values by finding where and where DNE. Note: this includes the endpoints.

Evaluate all candidates (except for the endpoints) in the 2nd derivative.
Recall that a LOCAL minimum will exist where or DNE and .
Note: endpoints can be global (not local) minima.

To find the GLOBAL minimum, evaluate and compare (local minimum) with (endpoint) and (endpoint b).
The lowest value is the global minimum.