For the curve defined by and

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

Problem

For the curve defined by x=t2−4tx=t^{2}-4t and y=t3−6t (t∈R)y=t^{3}-6t\,(t\in\mathbb R), the value(s) of tt at which the tangent is vertical is/are (a) t=−2t=-2 (b) t=2t=\sqrt{2} (c) t=2t=2 (d) No real value of tt

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