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Second Derivatives and Beyond

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.

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