# Where does the graph of #y=(5x^4)-(x^5)# have an inflection point?

##### 1 Answer

May 5, 2015

An inflection point is a point on the graph at which the concavity changes. To investigate concavity, we'll look at the sign of the second derivative:

Obviously

Which is positive for

An inflection point is a point on the graph, so we need:

when

The point