Second Derivatives and Beyond Exercises

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.