# Calculus: Derivatives – The Chain Rule – #148

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.