For the parametric equations and ( )

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

Problem

For the parametric equations x=e−tx=e^{-t} and y=t2ln⁡ty=t^{2}\ln t (t>0t>0), determine the value of d2ydx2\dfrac{d^{2}y}{dx^{2}} at t=1t=1.

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