# Critical Points Exercises

### Example 1

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

### Example 2

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

f (x) = cos x

### Example 3

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

### Example 4

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

### Example 5

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

f (x) = xex

### Example 6

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

f (x) = 4x3 + 3x2 – 2x + 1

### Example 7

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

f (x) = sin x cos x

### Example 8

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

f (x) = sin2 x

### Example 9

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

f (x) = ex + e-x

### Example 10

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

f (x) = 3x – 2x