Differentiate `log((x^2+x+1)/(x^2-x+1))` with respect to `x` .

Explanation

To differentiate the function \( y = \log\left(\frac{x^2 + x + 1}{x^2 - x + 1}\right) \) with respect to \( x \), we will use the properties of logarithms and the quotient rule. Here’s the step-by-step solution:

### Step 1: Apply the logarithmic property
Using the property of logarithms that states \( \log\left(\frac{a}{b}\right) = \log(a) - \log(b) \), we can rewrite the function:
\[ y = \log(x^2 + x + 1) - \log(x^2 - x + 1) \]

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