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

12-58.

The graph below shows the graph of the derivative of

*f*(*x*). Give approximate answers to the questions below and justify your responses. Homework Help ✎

a. For what values of

*x*in the interval [−4, 4] does*f*attain a relative minimum?At what value of

*x*does a critical point that is neither a relative maximum nor a relative minimum exist?For what values of

*x*in the interval [−4, 4] is the graph of*f*concave up?

This occurs when *f′*(*x*), or the slope function, changes from negative to positive.

This occurs when *f′*(*x*) = 0, but does not change from negative to positive.

This occurs when *f′*(*x*) > 0.