Differentiate the following function with respect of `x :(1+3^x)/(1-3^x)`

Explanation

To differentiate the function \( f(x) = \frac{1 + 3^x}{1 - 3^x} \) 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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