A curve has the parametric equations
x=etx=e^tx=et, y=t2+1y=t^2+1y=t2+1, 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 tangent to the curve at the point where t=1t = 1t=1.