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The given function is:

\[
f(x) = \ln \left( \frac{(1 + x)(1 - x^2)}{3 + x} \right)
\]

Would you like to:

- Differentiate this function?
- Simplify it further?
- Evaluate it for a particular value of \(x\)?
- Analyze its domain and range?

Let me know how you'd like to proceed, or if you'd like a detailed explanation of any concept.

Here are some related questions:
1. How would you simplify \(\frac{(1 + x)(1 - x^2)}{3 + x}\)?
2. What are the critical points of \(f(x)\)?
3. What is the domain of \(f(x)\)?
4. How do you apply logarithmic properties to functions like \(f(x)\)?
5. What happens as \(x\) approaches infinity for \(f(x)\)?

**Tip:** When dealing with logarithmic functions, simplifying the argument of the logarithm can often make differentiation or integration easier.

Find the details or perform specific operations related to the function f(x) = ln[((1 + x)(1 - x^2))/(3 + x)].

Explore the logarithmic function f(x) = ln[((1 + x)(1 - x^2))/(3 + x)] with various operations like differentiation, simplification, and domain analysis. Understand key mathematical concepts such as logarithm properties, derivatives, and critical points in calculus.

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