Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=et, y=t-2 lnt; t = 1 Show all steps clearly.

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

YOUR TURN For the graph of f(x)=x2x, a find the equation of the secant line through the points where x=2 and x=1, and b find the equation of the tangent line at x=2.