Differentiate the following functions with respect to `(x^2+2)/(sqrt(cosx))`

Explanation

To differentiate the function \( y = \frac{x^2 + 2}{\sqrt{\cos x}} \) with respect to \( x \), we will use the quotient rule of differentiation. The quotient rule states that if you have a function in the form \( \frac{u}{v} \), then its derivative is given by:

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

where \( u = x^2 + 2 \) and \( v = \sqrt{\cos x} \).

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