The equation in the image is:

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

Would you like me to differentiate this with respect to $x$ or solve it in some other way? Please specify if there’s a particular method you’d like me to use, or if you have further details on what you’re trying to find.

Related Questions:

1. What is the derivative of an inverse sine function?
2. How do you simplify expressions involving inverse trigonometric functions?
3. What are the identities for inverse trigonometric functions like $\sin^{-1}$ and $\cos^{-1}$?
4. How do we apply chain rule in derivatives involving inverse trigonometric functions?
5. What are the typical uses of such trigonometric expressions in physics or engineering?

Tip:

When dealing with inverse trigonometric functions, try to recall identities that may simplify expressions before differentiating or integrating them.