Consider the curve defined for by and

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

Problem

Consider the curve defined for −2≤t≤2-2\le t\le 2 by x(t)=tx(t)=t and y(t)=t3−3ty(t)=t^{3}-3t. Determine the coordinates of the curve’s inflection point. (a) (1,−2)(1,-2) (b) (0,0)(0,0) (c) The curve has no inflection point on the given interval. (d) (−1,2)(-1,2)

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