Differentiate the following with respect of `x :(x+secx)(x-tanx)`

Explanation

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

\[ \frac{d}{dx}[u(x)v(x)] = u(x)\frac{dv}{dx} + v(x)\frac{du}{dx} \]

### Step-by-Step Solution:

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