# Second Derivatives and Beyond

### Example 1

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is - .

The sign of *f*" is + .

### Example 2

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is 0 .

The sign of *f*" is 0 .

### Example 3

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is + .

The sign of *f*" is 0 .

### Example 4

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is + .

The sign of *f*" is - .

### Example 5

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is + .

The sign of *f*" is + .

### Example 6

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is - .

The sign of *f*" is 0 .

### Example 7

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is - .

The sign of *f*" is - .

### Example 8

Given the signs of *f*' and *f*", sketch the shape of the function *f*.

The sign of *f*' is 0.

The sign of *f*" is 0.