Mathematics

Mathematics

Problem

The parametric equations x(t)=ln⁡tx(t)=\ln t and y(t)=t2+1y(t)=t^{2}+1 are valid for t>0t>0. Find an explicit formula for d2ydx2\dfrac{d^{2}y}{dx^{2}} in terms of xx (eliminate tt from your final answer).

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