For the curve defined parametrically as and

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

Problem

For the curve defined parametrically as

x=e^{t}

and

y=t^{2}

, find

\dfrac{dy}{dx}

t=0

. (a) Undefined (b)

0

(c)

\dfrac{2}{e}

(d)

2