.The ratio of absolute maxima and minima of `f(x)=(x^2-x+1)/(x^2+x+1) xepsilonR` is

Explanation

To find the ratio of absolute maxima and minima of the function \( f(x) = \frac{x^2 - x + 1}{x^2 + x + 1} \), we will follow these steps:

### Step 1: Find the Derivative
We will use the quotient rule to find the derivative of \( f(x) \).

The quotient rule states:
\[
\frac{d}{dx}\left(\frac{u}{v}\right) = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}
...