   Chapter 3.3, Problem 44E

Chapter
Section
Textbook Problem

# 33-44(a) Find the intervals of increase or decrease.(b) Find the local maximum and minimum values.(c) Find the intervals of concavity and the inflection points.(d) Use the information from parts ( a ) − ( c ) to sketch the graph. Check your work with a graphing device if you have one. S ( x ) = x − sin x ,   0 ≤ x ≤ 4 π

To determine

(a)

To find:

The intervals of increase or decrease

Explanation

1) Concept:

Increasing or Decreasing test:

If f'x>0 then f is increasing

If f'x<0 then f is decreasing

2) Given:

Sx=x-sinx  0x4π

3) Formula:

Sum and difference rule:

ddxfx±gx=ddxfx±ddx(gx)

4) Calculation:

Consider,

Sx=x-sinx  0x4π

Differentiate with respect to x,

S'x=ddx

To determine

(b)

To find:

Local maximum and local minimum values

To determine

(C)

To find:

Intervals of concavity and the inflection points

To determine

(d)

To sketch:

The graph by using information from part (a) – (c)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 4143, find the distance between the two points. 42. (9, 6) and (6, 2)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Construct an angle that measures 75.

Elementary Geometry For College Students, 7e

#### For f(x) = cos1(2x), f(x) = a) 114x2 b) 214x2 c) 414x2 d) 814x2

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 