Mathematics

Problem

t=t_0

for a certain parametric curve,

f'(t_0)=0

and

g'(t_0)=0

. Which of the following is true about the tangent at the corresponding point on the curve? a) The tangent is definitely vertical. b) The slope

\dfrac{dy}{dx}

is indeterminate and further information is needed. c) The tangent is definitely horizontal. d) There is no tangent at the point.