Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, minimum, or neither by first applying the second derivative test, and, if the test fails, by some other method. f(x) = 3x² - 2x + 6 f has a relative minimum e at the critical point x =

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A: Solution is given below:

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Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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