More graphing ?Make a complete graph of the following functions. If an interval is not specified, graph the function on its domain. Use a graphing utility to check your work. f? ? = (ln?x?)/?x?2

Solution:- Step1 Given function is In x f(x)= x And the domain of given function is [0, ] The given function is not symmetrical about x-axis and y-axis. Step2 Differentiate the given equation to find f’(x) we get, 1 2 In(x) f’(x)= x3 - x3 12 In(x) = x3 Again differentiate f’(x) to find f”(x) we get, f”(x)= 3(12In (x))- 2 x4 x4 3(12In (x))2 3+6In(x)2 6In(x)5 = x4 = x4 = x4 Step3 To get extreme value we have to use f’(x)=0 12 In(x) x =0 1-2In x=0 In x= 1 2 1 x=e 2 1 x=e is the critical point. Step4 To find the inflection points we have to use f”(x)=0 6In4x)=0 x 6 In(x)-5=0 In x= 5 6 6 x=e 6 x=e is the inflection point. Step5 We have to find increasing,...