For the parametric equations and with

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

Problem

For the parametric equations x(t)=t2+1x(t)=t^{2}+1 and y(t)=ln⁡ty(t)=\ln t with t>0t>0, find d2ydx2\dfrac{d^{2}y}{dx^{2}} in terms of tt.

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