The equation provided in the image is:

$y = \ln \left( \frac{\sqrt{x^2 + 4} - x^2}{\sqrt{x^2 + 4} + x^2} \right)$

Would you like me to:

1. Simplify this expression?
2. Find the derivative of $y$ with respect to $x$?
3. Analyze the behavior (domain, range, or asymptotes)?
4. Verify any mathematical property for this equation?
5. Something else?

Let me know how I can assist further!

5 Related Questions:

1. How does the logarithmic function behave for negative or undefined arguments?
2. What are the critical points of this function?
3. How do the numerator and denominator change as $x \to \infty$?
4. Could this function have vertical or horizontal asymptotes?
5. How does the derivative of the square root affect calculations?

One Tip:

When differentiating logarithmic functions, apply the chain rule carefully, especially when the argument involves fractions or roots.