Find the equation of tangent line at given point on an implicitly defined relation.

Question

The implicitly defined relation is:

y²= (x-1)/(x²+1)

The given point is (2,√5/5).

Here is a picture of the question with a couple more requirements (graphing):

desmos.com/calculator/a0mcbajqf9

Answer 1

Answer 2

desmos.com/calculator/8q4ws4l1wt

The above graph shows how you can write the derivative as a function of x and y.