For the curve given by and

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

Problem

For the curve given by

x=t^{3}-3t

and

y=t^{2}+2

, determine: (i) all values of

t

for which the tangent is horizontal; (ii) all values of

t

for which the tangent is vertical.