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Find the Critical Point(s) of the Function

Question 156

Multiple Choice

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. ​ 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)    is the point of maximum, 11 is the relative maximum B)    is the critical point, it is impossible to determine the relative extrema of the function C)    is the point of minimum, -11 is the relative minimum D)    is the critical point, the function has neither a relative maximum nor a relative minimum at this point E)  no critical points


A) 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)    is the point of maximum, 11 is the relative maximum B)    is the critical point, it is impossible to determine the relative extrema of the function C)    is the point of minimum, -11 is the relative minimum D)    is the critical point, the function has neither a relative maximum nor a relative minimum at this point E)  no critical points is the point of maximum, 11 is the relative maximum
B) 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)    is the point of maximum, 11 is the relative maximum B)    is the critical point, it is impossible to determine the relative extrema of the function C)    is the point of minimum, -11 is the relative minimum D)    is the critical point, the function has neither a relative maximum nor a relative minimum at this point E)  no critical points is the critical point, it is impossible to determine the relative extrema of the function
C) 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)    is the point of maximum, 11 is the relative maximum B)    is the critical point, it is impossible to determine the relative extrema of the function C)    is the point of minimum, -11 is the relative minimum D)    is the critical point, the function has neither a relative maximum nor a relative minimum at this point E)  no critical points is the point of minimum, -11 is the relative minimum
D) 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)    is the point of maximum, 11 is the relative maximum B)    is the critical point, it is impossible to determine the relative extrema of the function C)    is the point of minimum, -11 is the relative minimum D)    is the critical point, the function has neither a relative maximum nor a relative minimum at this point E)  no critical points is the critical point, the function has neither a relative maximum nor a relative minimum at this point
E) no critical points

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