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The Second Derivative - Open Computing Facility
Solution By repeated applications of the power rule, we find that f0(x) = 3x2, and f00(x) = 6x. For all x, the first derivative f0(x) > 0, so the function f(x) is always increasing.Considering the second derivative, we see that for x < 0 we have f00(x) < 0, so f(x) is concave down.For x > 0
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