The expression you provided is \( \frac{e^x}{x+1} \). Would you like to solve this expression, differentiate it, or analyze it further? Let me know what you want to do with it.

For example:
- We can find its derivative using the quotient rule.
- We can explore its behavior as \( x \) approaches certain limits.

Let me know what you're aiming for!

Here are five related questions that may help:
1. Would you like to simplify or expand on this function?
2. Do you want to compute the derivative of \( \frac{e^x}{x+1} \)?
3. Would you like to analyze the limits of this function as \( x \to \infty \) or \( x \to -\infty \)?
4. Do you want to integrate this expression?
5. Would you like a graphical plot of the function to understand its behavior?

**Tip:** When dealing with exponential functions in calculus, it's helpful to know the basic rules for derivatives and integrals involving \( e^x \), as these can often simplify complex problems.

Explore the mathematical analysis of the function e^x / (x + 1), including its derivative using the quotient rule, integration, and behavior as x approaches infinity. This detailed guide is suitable for students in Grades 11-12 who are studying calculus and exponential functions.

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