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) (4, 1) is the critical point, the function has neither a relative maximum nor a relative minimum at this point
B) (4, 1) is the critical point, it is impossible to determine the relative extrema of the function
C) (4, 1) is the point of maximum, 12 is the relative maximum
D) (4, 1) is the point of minimum, 12 is the 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) (4, 1) is the critical point, the function has neither a relative maximum nor a relative minimum at this point 
B) (4, 1) is the critical point, it is impossible to determine the relative extrema of the function 
C) (4, 1) is the point of maximum, 12 is the relative maximum 
D) (4, 1) is the point of minimum, 12 is the 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) (4, 1) is the critical point, the function has neither a relative maximum nor a relative minimum at this point 
B) (4, 1) is the critical point, it is impossible to determine the relative extrema of the function 
C) (4, 1) is the point of maximum, 12 is the relative maximum 
D) (4, 1) is the point of minimum, 12 is the relative minimum 
E) no critical points

Find the Critical Point(s) of the Function