Question

Find an equation of the tangent line to the curve at the given point (1,1) at y = (2x)/(x+1)

Answer 1

The equation of the tangent line has the form
\[y-f(x_0)=f'(x_0)(x-x_0)\]where\[(x_0,y_0)=(1,1)\]
and f'(x_0) is the derivative of the function given in the problem evaluated in the point x_0=1. From this point, I think you can complete the problem if you how to derive your equation.