[See Solution] Given the parametric equations x=2t+1/t, t>0 , y=t+1 , Find (dy)/(dx) and the slope of the tangent at t = 1. Find (d^2y)/(dx^2) and the slope
Question: Given the parametric equations
\[\left\{ \begin{aligned} & x=2t+\frac{1}{t},\,\,\,t>0 \\ & y=t+1 \\\end{aligned} \right.\]
- Find \(\frac{dy}{dx}\) and the slope of the tangent at t = 1.
- Find \(\frac{{{d}^{2}}y}{d{{x}^{2}}}\) and the slope of the tangent at t = 1.
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