MathematicsIf [ . ] denotes the greatest integer function and y = tan π7x – 4π41 + 3x – 22, then dydx =

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

A
$\sec^{2} π$
B
$\frac{\sec^{2} π [{(7 x - 4 π)}^{4}] \times 28 {(7 x - 4 π)}^{3}}{{(1 + {[3 x - 2 π]}^{2})}^{2}}$
C
$secπ \tan \frac{π}{4}$
D
0

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

Since $\tan (n π)$ is zero for any value of $n$ , the above function is zero

Hence, $\frac{d y}{d x} = 0$

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