For the curve defined by and

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

Problem

For the curve defined by

x = t^{2}+1

and

y = t^{3}-3t

, calculate the value of

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

t = 1

and state whether the curve is concave upward or concave downward there.