The curve is given by

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

Problem

x=t^{2}+1,\;y=t^{3}-3t

. Find the concavity of the curve at

t=1

. (a) Point of inflection (b) Cannot be determined because

\dfrac{d^{2}y}{dx^{2}}

is undefined (c) Concave upward (d) Concave downward