At for a certain parametric curve

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

At t=t0t=t_0 for a certain parametric curve, f′(t0)=0f'(t_0)=0 and g′(t0)=0g'(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 dydx\dfrac{dy}{dx} is indeterminate and further information is needed. (c) The tangent is definitely horizontal. (d) There is no tangent at the point.

Related theory

Browse the problem library