Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
A) (-8, 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum
B) (8, - 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum
C) (8, 0.125), (8, - 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum
D) (8, 0.125), (- 8, 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum
E) no critical points

Question

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. 
A) (-8, 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum 
B) (8, - 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum 
C) (8, 0.125), (8, - 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum 
D) (8, 0.125), (- 8, 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum 
E) no critical points

Quizplus · Accepted Answer

The Answer of Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. 
A) (-8, 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum 
B) (8, - 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum 
C) (8, 0.125), (8, - 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum 
D) (8, 0.125), (- 8, 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum 
E) no critical points

Find the Critical Point(s) of the Function