# How do you find all points of inflection given #y=-x^3/(x^2-1)#?

##### 1 Answer

Jan 15, 2017

POI : O(0, 0)

#### Explanation:

Resolving into partial fractions,

that has just one real zero x = 0. at which

So, the origin is the poiit of inflexion . See the illustrative graph, for

tangent-crossing-curve, at O.

graph{(x^3/(1-x^2)-y)y=0 [-5, 5, -2.5, 2.5]}