For the curve

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the curve x=t3−3t,  y=3t2−9x=t^{3}-3t,\;y=3t^{2}-9, the tangent is horizontal for which value(s) of tt? (a) t=±1t=\pm 1 (b) t=±3t=\pm\sqrt{3} (c) t=0t=0 (d) t=1+2t=1+\sqrt{2}

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