Find the Interval on Which $f ( x ) = x - 2 \sin x , 0 \leq x \leq 2 \pi$

question 54

Multiple Choice

Find the interval on which $f ( x ) = x - 2 \sin x , 0 \leq x \leq 2 \pi$ is increasing.

• A) \(\left[ \frac { \pi } { 3 } , \frac { 5 \pi } { 3 } \right]\)
• B) \(\left[ 0 , \frac { \pi } { 3 } \right]\)
• C) \(\left[ \frac { 5 \pi } { 3 } , 2 \pi \right]\)
• D) \(\left[ 0 , \frac { \pi } { 2 } \right]\)
• E) \(\left[ \frac { \pi } { 2 } , \frac { 3 \pi } { 2 } \right]\)
• F) \(\left[ \frac { 3 \pi } { 2 } , 2 \pi \right]\)
• G) \([ 0 , \pi ]\)
• H) \([ \pi , 2 \pi ]\)

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Definitions:

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