Let f be the function with derivative given by f'(x) = x^2 - 2/x. On which of the following intervals is f decreasing? (A) (-?, -1] only (B) (-?, 0) (C) [-1, 0) only (D) (0, ?2] (E) [?2, ?)
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The derivative of the function f, f'(x), is given by x^2/2. This function is always non-negative for all real numbers because the square of any real number is always non-negative. Show more…
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