The curve is defined parametrically by and for all real

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The curve is defined parametrically by x=tx=t and y=t3−3ty=t^{3}-3t for all real tt. At which point does the curve have a point of inflection? (a) (1,−2)(1,-2) (b) (0,0)(0,0) (c) (−1,2)(-1,2) (d) (3,0)(\sqrt{3},0)

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