### Home > CALC > Chapter 5 > Lesson 5.1.3 > Problem 5-27

5-27.

Identify the maxima and minima of

Find CANDIDATES for maxima and minima by setting the first derivative equal to

Decide if each candidate is a maximum, minimum or neither. You could check for slope change by evaluating the 1st-derivative at points close to each candidate. You could evaluate each candidate in the 2nd-derivative. If the graph is concave up, it cannot have a local max. And vice versa.

Recall that maxima and minima are -values, not

*-values. So use*

*to find the*

*-value of each candidate.*