Differentiate the following with respect to `x :` `sin^(-1)((2^(x+1). 3^x)/(1+(36)^x))`

Explanation

Given : `\sin ^{-1}(\frac{2^{x+1} \cdot 3^{x}}{1+36^{x}})`



Let: `y=\sin ^{-1}(\frac{2^{x+1} 3^{x}}{1+36^{x}})`
$$
\begin{aligned}
&\Rightarrow \mathrm{y}=\sin ^{-1}\left(\frac{2 \cdot 2^{x} \cdot 3^{\mathrm{x}}}{1+\left(6^{2}\right)^{x}}\right) \\
&=\sin ^{-1}\left(\frac{2.6^{\mathrm{x}}}{1+\left(6^{x}\right)^{2}}\right)
\end{aligned}
...