Provide an appropriate response.
-Use the first derivative test to determine the local extrema, if any, for the function:
A) local min at x = 2
B) local max at x = - 4 and local min at x = 2
C) local max at x = 2 and local min at - 4
D) local max at x = - 4

Question

Provide an appropriate response.
-Use the first derivative test to determine the local extrema, if any, for the function: 
A) local min at x = 2 
B) local max at x = - 4 and local min at x = 2 
C) local max at x = 2 and local min at - 4 
D) local max at x = - 4

Quizplus · Accepted Answer

According to the first derivative test, the critical points are where the derivative changes sign. In this case, the derivative is positive for x < -4, negative for -4 < x < 2, and positive for x > 2. Therefore, there is a local max at x = -4 and a local min at x = 2.

Provide an Appropriate Response