More graphing Make a complete graph of the

Chapter 7, Problem 29E

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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.

f(x) = x ln x

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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.

f(x) = x 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 an even function and not an odd function. So, the given function is not symmetrical about x-axis and y-axis. Step2 Differentiate the given equation to find f’(x) we get, f’(x)= In(x)+1 Again differentiate f’(x) to find f”(x) we get, 1 f”(x)= x Step3 To get extreme value we have

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