For the parametric equations and

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

Problem

For the parametric equations

x=e^{t}+t

and

y=\ln(2t)

, determine the value of

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

at

t=1

. (a)

-\dfrac{2e-1}{(e+1)^{3}}

(b)

\dfrac{2e+1}{(e+1)^{3}}

(c)

-\dfrac{2e+1}{(e+1)^{3}}

(d)

-\dfrac{2e+1}{(e+1)^{2}}

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