Question
Diffrentiate the following w. r. t. x.
$\tan ^{-1}\left(\frac{2^{x+2}}{1-3\left(4^x\right)}\right)$
$\tan ^{-1}\left(\frac{2^{x+2}}{1-3\left(4^x\right)}\right)$
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$\sin (\log x)$
$\sec ^{-1} x+\operatorname{cosec}^{-1} x=\frac{\pi}{2} \ldots[$ for $|x| \geq 1]$
| $x_i$ | 1 | 2 | 3 | 4 |
| $p_i$ | 0.4 | 0.1 | 0.2 | 0.3 |