For a curve given by ,

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

Problem

For a curve given by

x=f(t)

y=g(t)

, it is known that at

t=2

both

f'(2)=0

and

g'(2)=0

. Explain in one sentence whether the tangent at the corresponding point is horizontal, vertical, or neither.