[Step-by-Step] Given parametric equations x=2t+1/t, t>0 , y=t+1 , Find (dy)/(dx) and the slope of the tangent at t = 1. b) Find (d^2y)/(dx^2)
Question: Given 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.
b) Find \(\frac{{{d}^{2}}y}{d{{x}^{2}}}\) .
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