Find the absolute maximum and minimum for f(x)=x−2sinx over the interval [0, 2π]

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Absolute Minimum and maximum:

To check the absolute extreme values, first find the derivative of the function,put it to zero and find the values of x. Find the value of f(x)
at calculated values and also at the endpoints of the given interval [a,b]. Then maximum among all values is the absolute maximum and minimum among all is the absolute minimum of the given function.