For the curve defined by and

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

Problem

For the curve defined by

x=t^{2}+t

and

y=t^{3}-3t

, find: (i) the value(s) of

t

at which the tangent is horizontal, (ii) the value(s) of

t

at which the tangent is vertical.