# Derivatives

# When Tangent Lines Don't Exist Exercises

### Example 1

Consider the function *f* shown below:

Determine if we can draw a tangent line to *f* at each specified point.

*x*_{1}

### Example 2

Determine if we can draw a tangent line to *f* at each specified point.

- 0

### Example 3

Determine if we can draw a tangent line to *f* at each specified point.

*x*_{2}

### Example 4

Determine if we can draw a tangent line to *f* at each specified point.

*x*_{3}

### Example 5

Determine if we can draw a tangent line to *f* at each specified point.

*x*_{4}

### Example 6

Determine if we can draw a tangent line to *f* at each specified point.

*x*_{5}

### Example 7

Determine if we can draw a tangent line to *f* at each specified point.

*x*_{6}