Mathematics

Mathematics

Problem

Let ff be a twice–differentiable function whose first derivative is f′(x)=x3−6xf'(x)=x^{3}-6x. At which xx–value(s) does the graph of ff have a point of inflection? a) x=±2x=\pm 2 b) x=±2x=\pm\sqrt{2} c) x=0x=0 only d) x=0, ±6x=0,\,\pm\sqrt{6}

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