Thank you for the clarification. If the function you're working with involves logarithms, I'll guide you through the process of differentiating it.

Assuming the function is something like \( f(x) = \ln(x) \) or involves a natural logarithm (ln), the general steps for differentiation would differ from a polynomial.

### General Formula for Differentiating Logarithmic Functions:

1. **Basic Rule for Natural Logarithm:**  
   If \( f(x) = \ln(x) \), then the derivative is:
   \[
   f'(x) = \frac{1}{x}
   \]

2. **Chain Rule with Logarithms:**  
   If the function is more complex, for example, \( f(x) = \ln(g(x)) \), where \( g(x) \) is some function of \( x \), then the derivative is:
   \[
   f'(x) = \frac{1}{g(x)} \cdot g'(x)
   \]
   This

Learn how to differentiate logarithmic functions like ln(x) and more complex logarithmic expressions with our detailed guide. Explore the derivative formulas for natural logarithms and understand the application of the chain rule. Suitable for advanced high school or college-level students.

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