The curve is given by and for

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The curve is given by

x(t)=t^{3}-3t

and

y(t)=t^{2}-2t

for

-2\le t\le 2

. Determine whether the curve possesses any horizontal tangent lines on this interval. If so, state the

t

-value(s); if not, write “none.”