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Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither,

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Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. f(x) = x2 - 4x+1 f has ---Select--- at the critical point X =Find the t-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(t ) = -5+3 + 4t f has ---Select--- v at the critical point t = (smaller t-value) f has ---Select--- v at the critical point t = (larger t-value)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) = 3xe-*2 f has ---Select--- v at the critical point x = (smaller x-value) f has ---Select--- at the critical point x = (larger x-value)

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