Let be a real constant

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let aa be a real constant. The curve is given by x=t2+atx=t^{2}+at and y=t3−3ty=t^{3}-3t. Determine all values of aa for which the tangent at t=1t=1 is horizontal but not vertical.

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