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Find the Critical Point(s) of the Function

Question 34

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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points and 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points ; saddle point: 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points ; relative maximum value: 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points
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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points and 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points ; relative minimum: 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points ; relative maximum value: 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points
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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points and 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points ; saddle point: 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points ; relative minimum value: 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)    and   ; saddle point:   ; relative maximum value:   ​ B)    and   ; relative minimum:   ; relative maximum value:   C)    and   ; saddle point:   ; relative minimum value:   ​ D)  there are no critical points
D) there are no critical points

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