How do you find the inflection points of the graph of the function: #(1-x^2)/x^3#?
An inflection point is a point on the graph at which concavity changes. So, it is a point on the graph at which the sign of the second derivative changes.
Key numbers for
These key numbers cut the number line into 4 intervals.
We look at the sign of
The concavity changes at
The inflection points are
The arithmetic is left as an exercise. (But note that