**Question: **Given the parametric equations

\[\left\{ \begin{align}

& x=2t+\frac{1}{t},\,\,\,t>0 \\

& y=t+1 \\

\end{align} \right.\]

(a) Find \(\frac{dy}{dx}\) and the slope of the tangent at *t* = 1.

(b) Find \(\frac{{{d}^{2}}y}{d{{x}^{2}}}\) and the slope of the tangent at *t* = 1.