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It appears that you have uploaded an image containing a few calculus problems. Let me assist with each part:

### 1. What is \( f'(-1) \)?

To answer this, you would need the function \( f(x) \) or its derivative \( f'(x) \) from "Example 2 of this section." Without knowing the function or derivative provided in Example 2, I cannot compute this directly.

### 2. What is the average rate of change of \( f' \) between \( x = -1 \) and \( x = 0 \)?

The average rate of change of a function between two points is given by the formula:
\[
\text{Average rate of change} = \frac{f'(0) - f'(-1)}{0 - (-1)} = f'(0) - f'(-1)
\]
To compute this, you would need the values of \( f'(0) \) and \( f'(-1) \), which again would be derived from the provided derivative in "Example 2."

### 3. What is \( f''(-1) \)?

To compute the second derivative \( f''(-1) \), you would need the second derivative function \( f''(x) \), which is the derivative of \( f'(x) \), at \( x = -1 \).

Since I don't have access to the original "Example 2" function, I cannot give exact numeric values for these questions without further details on the function. Could you provide that information, or perhaps a related part of the text?

Let me know if you'd like me to walk you through how to compute these given the derivative functions or if you can share the missing context.

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### Relative Questions:
1. What is the difference between the first and second derivatives?
2. How do you find the average rate of change between two points?
3. Why is knowing \( f'(x) \) critical for understanding the behavior of \( f(x) \)?
4. How is the second derivative \( f''(x) \) related to concavity?
5. What does a positive or negative average rate of change indicate?

### Tip:
Remember, the second derivative \( f''(x) \) gives insights into the concavity of the function, helping to identify points of inflection where the curvature changes.

What is f'(-1)? What is the average rate of change in f' between x = -1 and x = 0? What is f''(-1)?

This problem involves calculating the first and second derivatives of a function f at specific points, as well as the average rate of change of f' between x = -1 and x = 0. The solution uses key calculus concepts such as the derivative and rate of change formulas.

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