Perform a first derivative test on the function f x x 5x 2 5 5 a Locate the critical points of the given function b Use the

Question

Perform a first derivative test on the function f x x 5x 2 5 5 a Locate the critical points of the given function b Use the first derivative test to locate the local maximum and minimum values c Identify the absolute maximum and minimum values of the function on the given interval when they exist a Locate the critical points of the given function Select the correct choice below and if necessary fill in the answer box to complete your choice A The critical point s is are at x Simplify your answer Use a comma to separate answers as needed OB The function does not have a critical point b Locate the minimum value Select the correct choice below and if necessary fill in the answer box within your choice A There is a local minimum at x Simplify your answer B There is no local minimum OA 52 Locate the maximum value Select the correct choice below and if necessary fill the answer box within your choice There is a local maximum at x Simplify your answer OB There is no local maximum 5 3 2 4

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