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# Tangent Lines and Derivatives Exercises

### Example 1

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

### Example 2

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

### Example 3

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

### Example 4

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

### Example 5

For the function f and value a, determine if f ' (a) is positive, negative, or zero.

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### Example 6

• For the function shown below, which is greater: f ' (x1) or f ' (x2)?

### Example 7

• For the function shown below, which is greater: f ' (x1) or f ' (x2)?

### Example 8

• For the function shown below, list in order from least to greatest: f ' (x1), f ' (x2), f ' (x3).

### Example 9

• For the function shown below, list in order from least to greatest: f ' (x1), f ' (x2), f ' (0).