$\text { Find all critical numbers of the function } f ( x ) = \sin ^ { 2 } 6 x + \cos 6 x , 0 < x < \frac { \pi } { 3 } \text {. }$

question 116

Multiple Choice

$\text { Find all critical numbers of the function } f ( x ) = \sin ^ { 2 } 6 x + \cos 6 x , 0 < x < \frac { \pi } { 3 } \text {. }$

• A) \(\frac { \pi } { 18 } , \frac { \pi } { 12 } , \frac { \pi } { 9 } , \frac { \pi } { 4 }\)
• B) \(\frac { \pi } { 18 } , \frac { \pi } { 6 } , \frac { 5 \pi } { 18 }\)
• C) \(\frac { \pi } { 36 } , \frac { \pi } { 6 } , \frac { 2 \pi } { 9 }\)
• D) \(\frac { \pi } { 24 } , \frac { \pi } { 6 } , \frac { \pi } { 2 }\)
• E) \(\frac { \pi } { 6 } , \frac { 5 \pi } { 24 } , \frac { 7 \pi } { 24 }\)

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