It looks like you uploaded an image containing a mathematical function $f(x) = \frac{x^2 + 7x - 6}{x^2 - 10}$ and its derivative $\frac{df}{dx}$. How can I assist you with this? Would you like me to calculate the derivative or explain any part of it?

If you need the derivative of the function, we can apply the quotient rule.

Let me know if you'd like further details or if you have any questions! Here are some follow-up questions related to this topic:

1. Can you explain the quotient rule for differentiation in detail?
2. How do you simplify the expression after differentiating using the quotient rule?
3. What is the importance of understanding the behavior of the derivative of a function?
4. Can we find critical points using the derivative of this function?
5. What is the application of this derivative in real-world problems?

Tip: When differentiating a function with a fraction, always check for common factors in the numerator and denominator, as they might simplify the result.