For the curve

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For the curve x=t2+3t,  y=t3−3tx=t^{2}+3t,\;y=t^{3}-3t, find the value(s) of tt at which the tangent is horizontal. (a) t=−32t=-\dfrac{3}{2} (b) t=1t=1 only (c) t=±1t=\pm 1 (d) t=0t=0

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