How do you find the inflection points of the graph of the function: #y= (1/x^2) - (1/x^3)#?
Find the points on the curve at which the concavity changes.
The only inflection point is
The terminology used in calculus classes at schools I've worked at in the US (where the question was asked) is that an inflection point is a point on the graph at which the concavity changes.
This is not a nice form for investigating concavity using the second derivative, so rewrite the function in a nicer form:
We need to investigate the sign of
The sign of
There is no point on the graph of this function when