To determine \( g'(1) \), we need more information about the function \( g(x) \), such as its explicit form. The derivative \( g'(x) \) is the rate of change of the function \( g(x) \) at any point \( x \), and \( g'(1) \) refers to the value of the derivative when \( x = 1 \).

Could you please provide the function \( g(x) \), so we can proceed with calculating its derivative and evaluating \( g'(1) \)?

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Would you like more details on how to find derivatives?

Here are 5 questions that might interest you:
1. How do you find the derivative of a polynomial function?
2. What is the definition of a derivative in calculus?
3. Can you explain the chain rule for finding derivatives?
4. How do you find the second derivative of a function?
5. What are some real-world applications of derivatives?

**Tip:** When differentiating, pay close attention to rules like the product, quotient, and chain rules depending on the form of the function!

Understand how to calculate g'(1) by learning the process of finding derivatives. This problem uses key calculus concepts, including the definition of a derivative and important rules like the chain rule. Suitable for advanced high school or introductory college-level students.

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