If [ . ] denotes the greatest integer function and $\mathrm{y} = \frac{\tan \mathrm{\pi }\left[{\left(7\mathrm{x} - 4\mathrm{\pi }\right)}^4\right]}{1 + {\left[3\mathrm{x} - 2\right]}^2}$, then $\frac{\mathrm{dy}}{\mathrm{dx}} =$

The given function is $\mathrm{y} = \frac{\tan \mathrm{\pi }\left[{\left(7\mathrm{x} - 4\mathrm{\pi }\right)}^4\right]}{1 + {\left[3\mathrm{x} - 2\right]}^2}$

Since $\tan \left(n\mathrm{\pi }\right)$ is zero for any value of $n$, the above function is zero

Hence, $\frac{dy}{dx}=\boxed{\mathbf{0}}$