For the curve described by and on the interval

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For the curve described by

x(t)=t^{3}-6t

and

y(t)=t^{4}-4t^{2}

on the interval

-3\le t\le 3

, determine all Cartesian coordinate points where the curve has a horizontal tangent line.