#### Problem 53E

53. (a) The curve $y=1 /\left(1+x^{2}\right)$ is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point $\left(-1, \frac{1}{2}\right)$.

(b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.