Differentiate the following functions with respect to `x` : `(3^x)/(x+tanx)`

Explanation

To differentiate the function \( f(x) = \frac{3^x}{x + \tan x} \) with respect to \( x \), we will use the quotient rule. The quotient rule states that if you have a function in the form of \( \frac{U}{V} \), then the derivative \( \frac{d}{dx} \left( \frac{U}{V} \right) \) is given by:

\[ \frac{d}{dx} \left( \frac{U}{V} \right) = \frac{V \cdot U' - U \cdot V'}{V^2} \]

Where:
- \( U = 3^x \)
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