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

Explanation

To find the absolute maximum and minimum values of the function \( f(x) = \cos^2 x + \sin x \) on the interval \( [0, \pi] \), we will follow these steps:

### Step 1: Find the derivative of the function
The first step is to differentiate the function \( f(x) \).

\[ f'(x) = \frac{d}{dx}(\cos^2 x + \sin x) \]
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