A curve is defined parametrically for by and

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

Problem

A curve is defined parametrically for

-4<t<4

x(t)=t^{2}

and

y(t)=t^{3}-9t

. Determine the

(x,y)

coordinate on the curve at which the concavity with respect to

x

changes.