Find the absolute maximum of the function. $$f ( x ) = \sin ( 2 x ) + 2 \cos ( x ) \text { on the interval } \left[ 0 , \frac { \pi } { 2 } \right]$$

Name: Find the absolute maximum of the function. \[f ( x ) = \sin ( 2 x ) + 2 \cos ( x ) \text { on the interval } \left[ 0 , \frac { \pi } { 2 } \right]\]
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The Answer of Find the absolute maximum of the function. $$f ( x ) = \sin ( 2 x ) + 2 \cos ( x ) \text { on the interval } \left[ 0 , \frac { \pi } { 2 } \right]$$

Find the Absolute Maximum of the Function f(x)=sin⁡(2x)+2cos⁡(x) on the interval [0,π2]f ( x ) = \sin ( 2 x ) + 2 \cos ( x ) \text { on the interval } \left[ 0 , \frac { \pi } { 2 } \right]f(x)=sin(2x)+2cos(x) on the interval [0,2π​]

Find the Absolute Maximum of the Function $f ( x ) = \sin ( 2 x ) + 2 \cos ( x ) \text { on the interval } \left[ 0 , \frac { \pi } { 2 } \right]$