# Points of Inflection Exercises

### Example 1

For the function, find all points of inflection or determine that no such points exist.

f (x) = sin x

### Example 2

For the function, find all points of inflection or determine that no such points exist.

f (x) = ex

### Example 3

For the function, find all points of inflection or determine that no such points exist.

### Example 4

For the function, find all points of inflection or determine that no such points exist.

### Example 5

For the function, find all points of inflection or determine that no such points exist.

f (x) = 5x + 2

### Example 6

For the function, find all points of inflection or determine that no such points exist.

f (x) = x1/3

### Example 7

For the function, find all points of inflection or determine that no such points exist.

f (x) = xex

### Example 8

For the function, find all points of inflection or determine that no such points exist.

### Example 9

For the function, find all points of inflection or determine that no such points exist.

f (x) = ln x for x > 0

### Example 10

For the function, find all points of inflection or determine that no such points exist.

The logistic equation