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More graphing Make a complete graph of the | Ch 4.3 - 23E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 23E Chapter 4.3

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 23E

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 (? )? = sin ? ? x? on[0. 2?]

Step-by-Step Solution:
Step 1 of 3

Solution 23E Step1 Given function is f(x)= sin(x)-x on[0,2 ] And the domain of given function is [0,2 ] The given function is not symmetrical in [0,2 ] Step2 Differentiate the given equation to find f’(x) we get, f’(x)= cos(x)-1 Again differentiate f’(x) to find f”(x) we get, f”(x)=- sinx Step3 To get extreme value we have to use f’(x)=0 cos(x) 1 =0 Cos(x)=1 Therefore critical points are 0, 2 on [0,2 ] Step4 To get Inflection value we have to use f”(x)=0 - sin x=0 Therefore inflection point 0, 2 on [0,2 ] Step5 We have to find increasing, decreasing and concavity critical points are 0, 2 on [0,2 ] f’(x)<0 The function is decreasing The inflection points are 0, ,2 The between (0, ), f’(x)<0 f(x) has concave down The between ( ,2 ), f’(x)>0 f(x) has concave up Step6 Extreme values and inflection points. critical points are 0 and 2 At x=0 f”(x)=0 At x=2 f”(x)=0 Therefore at x=0,2 f(x) has minimum value . Step7 Asymptotes and end behavior Let f’(x)=0 x=0,2 At x=0 and x=2 f(x) then tangent parallel to x- axis lim f(x)=-2 x2 Intercepts At x=0 y=0 If y=0 x=0 Step8 Graph of given equation

Step 2 of 3

Chapter 4.3, Problem 23E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: graph, graphing, interval, function, functions. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. 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 (? )? = sin ? ? x? on[0. 2?]” is broken down into a number of easy to follow steps, and 42 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 23E from 4.3 chapter was answered, more than 358 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 23E from chapter: 4.3 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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More graphing Make a complete graph of the | Ch 4.3 - 23E