Differentiate the following function with respect of `x :(x^2+1)/(x+1)`

Explanation

To differentiate the function \( f(x) = \frac{x^2 + 1}{x + 1} \) with respect to \( x \), we will use the quotient rule. The quotient rule states that if you have a function in the form \( \frac{u}{v} \), then its derivative is given by:

\[ \frac{d}{dx}\left(\frac{u}{v}\right) = \frac{u'v - uv'}{v^2} \]

where \( u \) is the numerator and \( v \) is the denominator.

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