### Home > CALC > Chapter 12 > Lesson 12.1.5 > Problem 12-58

12-58.

The graph below shows the graph of the derivative of . Give approximate answers to the questions below and justify your responses.

a. For what values of

in the intervaldoes attain a relative minimum?This occurs when

, or the slope function, changes from negative to positive.At what value of

does a critical point that is neither a relative maximum nor a relative minimum exist?This occurs when

, but does not change from negative to positive.For what values of

in the intervalis the graph of concave up?This occurs when

.