Consider the function f which is given on its domain (0,) by:

f(x)=18x^(2)-(36x+9)In(x)

• Find the number c in the domain of f at which f' is zero or undefined and give its exact value in the first column of the table

In the second column:

• for each of the given intervals, state if the graph of f is concave up or concave down on that interval
• state whether or not cc is an inflection point of the graph of f

x	behavior
0c	(concave upward OR concave downward)
c=	(inflection point OR other)
x>c	(concave upward OR concave downward)