The curve is defined by the parametric equations and
MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
The curve is defined by the parametric equations x=t3−3t and y=t2+2. Determine all values of t for which the curve has a vertical tangent line.
(a) There is no value of t for which the tangent is vertical.
(b) t=0 only
(c) t=−1 and t=1
(d) t=−1 only