Prove that the function f given by `f(x)=x^2-x+1`is neither strictly increasing nor strictly decreasing on `( 1, 1)`.

Explanation

To prove that the function \( f(x) = x^2 - x + 1 \) is neither strictly increasing nor strictly decreasing on the interval \( (-1, 1) \), we will follow these steps:

### Step 1: Find the derivative of the function
To analyze the behavior of the function, we first need to find its derivative.

\[ f'(x) = \frac{d}{dx}(x^2 - x + 1) = 2x - 1 \]
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