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
Step 1 of 3
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,...
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The full step-by-step solution to problem: 28E from chapter: 4.3 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “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” is broken down into a number of easy to follow steps, and 34 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 28E from 4.3 chapter was answered, more than 339 students have viewed the full step-by-step answer. This full solution covers the following key subjects: graph, graphing, interval, function, functions. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.