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Find the absolute maximum and minimum...

Find the absolute maximum and minimum values of the function `f` given by `f(x)=cos^2x+sinx` , `x in [0,\ pi]` .

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`f(x)=cos^2x+sinx`
`f'(x)=-2cosx sinx + cosx`
`text(Putting this to zero, we get)`
`-2cosx sinx + cosx = 0`
...
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