A curve has the parametric equations
x=t+1t\displaystyle x = t + \frac{1}{t}x=t+t1, y=t−1t\displaystyle y = t - \frac{1}{t}y=t−t1, where t>0t > 0t>0, t≠1t \neq 1t=1
Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy in terms of ttt.
Find an equation for the normal to the curve at the point where t=2t = 2t=2.