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Find the local maximum and local minimum...

Find the local maximum and local minimum value of the function
`f(x) = (2 cos x + x),"where 0" lt x lt pi`

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Verified by Experts

The correct Answer is:
Local maximum value `= (sqrt(3) + (pi)/(6))` and local minimum value `= ((5pi)/(6) - sqrt(3))`
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