For the curve and

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

Problem

For the curve x=e2tx=e^{2t} and y=ln⁡(3t+1)y=\ln(3t+1), calculate d2ydx2\dfrac{d^{2}y}{dx^{2}} at t=0t=0.

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