For the curve (x=t^ 3 -t, ; y=t^ 2 +4 )

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

Problem

For the curve

x=t^{3}-t,\; y=t^{2}+4

, determine all values of

t

for which the tangent is horizontal, and write the corresponding equation of the tangent line.