Differentiate with respect to x: `(3x+5)(1+tanx)`

Explanation

To differentiate the function \( y = (3x + 5)(1 + \tan x) \) with respect to \( x \), we will use the product rule of differentiation. The product rule states that if you have two functions \( u \) and \( v \), then the derivative of their product is given by:

\[ \frac{dy}{dx} = u \frac{dv}{dx} + v \frac{du}{dx} \]

### Step-by-Step Solution:

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