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Let f(x) = -x + 9x on [-3,5].a. Locate the critical points of f.b. Use the First Derivative Test to locate the local maximum and
Let f(x) = -x³ + 9x on [-3,5].a. Locate the critical points of f.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 a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The critical point(s) of f is/are x =(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)B. The function f has no critical points.
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