Find all critical numbers for the following function Then use the second derivative test on each critical number to determine

Question

Find all critical numbers for the following function Then use the second derivative test on each critical number to determine whether it leads to a local maximum or minimum f x 2x 3x 36x 6 What is the second derivative of f x t x Find all critical numbers and determine whether they lead to a local maximum or minimum Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The critical number s is are x There is no local maximum and no local minimum Use a comma to separate answers as needed OB There are no critical numbers OC The critical number s is are x There is a local maximum at x Use a comma to separate answers as needed OD The critical number s is are x Use a comma to separate answers There is a local minimum at x There is no local maximum There is a local minimum at x as needed O E The critical number s is are x Use a comma to separate answers as needed There is a local maximum at x There is no local minimum

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