I would like to draw a function (x/x^2+1), and at a certain point, i'd like to draw a dot along with the tangent line at that specific point.
what I have tried is the following:
Plot[{function[x], function'[x]}, {x, -5, 5}, AxesLabel -> {x, y} LabelStyle -> Direction[Black, Bold]]
However, this plots the original function f(x) and f'(x) simultaneously; how can I achieve the desired result?