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# Solved: More graphing Make a complete graph of the

ISBN: 9780321570567 2

## Solution for problem 26E Chapter 4.3

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 26E

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?)? ?2ln ?x

Step-by-Step Solution:
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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 f’(x)=0 x + 2In x=0 x(1+2In x)=0 1+2In x=0 2In x=-1 1 In x= 2 1 In x= 2 is not possible. Hence x=0 x=0 is the critical point. Step4 To find the inflection points we have to use f”(x)=0 3 + 2 In x=0 2 In...

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Solved: More graphing Make a complete graph of the

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