second derivative of -x³
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For an example of finding and using the second derivative of a function, take f(x)=3x3 − 6x2 + 2x − 1 as above. Then f (x)=9x2 − 12x + 2, and f (x) = 18x − 12. So at x = 0, the second derivative of f(x) is −12, so we know that the graph of f(x) is concave down at x = 0.
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