Let and . At which value of is the tangent to the curve…

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

Problem

Let x=t2x = t^{2} and y=t3−3ty = t^{3} - 3t. At which value of tt is the tangent to the curve vertical? (a) t=3t = 3 (b) t=0t = 0 (c) t=−1t = -1 (d) t=3t = \sqrt{3}

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