For the curve on

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

Problem

For the curve x=t3−3t,  y=t2−2x=t^{3}-3t,\;y=t^{2}-2 on −2≤t≤2-2\le t\le2, how many distinct points have either a horizontal or a vertical tangent? (a) 44 (b) 33 (c) 22 (d) 11

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