Differentiate `sin^(-1){(2^(x+1). 3^x)/(1+(36)^x)}"with respect to"xdot`

Explanation

To differentiate the function \( y = \sin^{-1}\left(\frac{2^{x+1} \cdot 3^x}{1 + (36)^x}\right) \) with respect to \( x \), we will follow these steps:

### Step 1: Rewrite the expression
First, we can simplify the expression inside the inverse sine function:
\[ y = \sin^{-1}\left(\frac{2 \cdot 2^x \cdot 3^x}{1 + (6^2)^x}\right) = \sin^{-1}\left(\frac{2 \cdot 2^x \cdot 3^x}{1 + 6^{2x}}\right) \]
This can be rewritten as:
...