A curve has the parametric equations
x=t2+1x=t^2+1x=t2+1, y=t3−ty=t^3-ty=t3−t, where t∈Rt\in\mathbb Rt∈R.
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.