For the curve given by and

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

Problem

For the curve given by x(t)=etx(t)=e^{t} and y(t)=ln⁡(1+t)y(t)=\ln(1+t), determine the numerical value of d2ydx2\displaystyle \frac{d^{2}y}{dx^{2}} at t=0t=0.

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