Consider the curve

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

Problem

Consider the curve x=t2,  y=t3−3tx=t^{2},\;y=t^{3}-3t. Find the value of t=kt=k such that the tangent line at t=kt=k is perpendicular to the tangent line at t=1t=1.

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