If and , then the value of at…

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

Problem

If

x=3t^{2}

and

y=2t^{3}

, then the value of

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

at

t=1

is (a)

6

(b)

\dfrac{1}{6}

(c)

\dfrac{1}{3}

(d)

\dfrac{1}{18}

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