For the parametric curve and

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

Problem

For the parametric curve

x=e^{2t}

and

y=t\,e^{2t}

, calculate

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

t=0

. (a)

1

(b)

\dfrac{1}{2}

(c)

\dfrac{1}{4}

(d)

2