Find the derivative of `f(x) =(x+1)/x`.

Explanation

To find the derivative of the function \( f(x) = \frac{x + 1}{x} \), we will use the quotient rule. The quotient rule states that if you have a function in the form \( \frac{u}{v} \), then the derivative \( \frac{dy}{dx} \) is given by:

\[ \frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2} \]

where \( u = x + 1 \) and \( v = x \).

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