Identify the correct condition for a vertical tangent to the parametric curve at .

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

Problem

Identify the correct condition for a vertical tangent to the parametric curve

x=f(t),\, y=g(t)

t=t_0

. (a)

g'(t_0)=0

and

f'(t_0)\neq0

(b)

f'(t_0)\,g'(t_0)=0

(c)

f'(t_0)=0

and

g'(t_0)\neq0

(d)

f'(t_0)=g'(t_0)=0