The image shows an equation:

$y = \sin^{-1}\left(\frac{2x}{1 + x^2}\right)$

This represents an inverse sine (arcsin) function, where $y$ is the inverse sine of the expression $\frac{2x}{1 + x^2}$.

Would you like to solve this equation for $y$, differentiate it, or explore any other aspect of this expression? Let me know how you'd like to proceed.

Here are five related questions to explore further:

1. How do you find the derivative of this inverse sine function?
2. Can this equation be simplified further under certain conditions for $x$?
3. What is the domain and range of this function?
4. How do you solve for $x$ in terms of $y$ from the given equation?
5. What is the geometrical interpretation of the inverse sine function?

Tip: For inverse trigonometric functions, it's essential to check the domain and range to ensure valid outputs.