Question

The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point (-2, 1/5).

y=1/(1+x^2)

Answer 1

Some call it witch of Maria Agnesi. She did not name it that, the name was a mistranslation of her work.

y'=dy/dx (1+x^2)^-1= -(1+x)^-2 * 2x

y'=-2x y^2

Put in x,y and you have it.
I am wondering..what was so difficult about this?

Answer 2

I just didn't have time to solve it, I had to run to class and now I only have a minute to enter all the correct answers, thank you