Find the point of inflection of the function .
If is a function for which over an interval, then the graph of is convex upwards over this interval.
Likewise, if is a function for which over an interval, then the graph of is convex downwards over this interval.
A point of inflection on a curve is a point where the curve changes from convex downwards to convex upwards, or vice versa, so at a point of inflection, either , or is undefined.
First, find for the function as follows:
Now find for the function .
Next, substitute 0 for in the equation and solve for .
Finally, substitute 3 for in the equation to find .
Thus, the inflection point of the function is .