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Solved: More graphing Make a complete graph of the
Chapter 7, Problem 26E(choose chapter or problem)
21-32. 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.
\(g(x)=x^{2} \ln x\)
Questions & Answers
QUESTION:
21-32. 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.
\(g(x)=x^{2} \ln x\)
ANSWER:Solution:- Step1 Given function is f(x)= x In 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) using product rule we get, f’(x)= x 2 1 + In x(2x) x = x+2In x Again differentiate f’(x) to find f”(x) we get, f”(x)= 1+2(x +In x) x = 1 + 2 + 2 In x = 3+ 2 In x Step3 To get extreme value we have to use