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Second Derivatives and Beyond

Second Derivatives and Beyond

Example 1

Determine if the function has a global maximum and/or a global minimum.

Example 2

Determine if the function has a global maximum and/or a global minimum.

Example 3

Determine if the function has a global maximum and/or a global minimum.

Example 4

Determine if the function has a global maximum and/or a global minimum.

Example 5

Determine if the function has a global maximum and/or a global minimum.

Example 6

Determine if the function has a global maximum and/or a global minimum.

Example 7

Determine if the function has a global maximum and/or a global minimum.

Example 8

Determine if the function has a global maximum and/or a global minimum.

Example 9

Find the global max and global min of the function on the specified interval.

on the interval [-1,1]

Example 10

Find the global max and global min of the function on the specified interval.

f (x) = x2 + 3x on the interval [-2,3]

Example 11

Find the global max and global min of the function on the specified interval.

f (x) = xex on the interval [-2,-1]

Example 12

Find the global max and global min of the function on the specified interval.

f (x) = sin x on the interval [π,2π]

Example 13

Find the global max and global min of the function on the specified interval.

Example 14

Find where the global max and global min of the function occur (on the specified interval).

f (x) = x2ex on the interval [-5,1]

Example 15

Find where the global max and global min of the function occur (on the specified interval).

f (x) = 2x2 + 3x - 2 on the interval [-2,2]

Example 16

Find where the global max and global min of the function occur (on the specified interval).

on the interval [-π,π]

Example 17

Find where the global max and global min of the function occur (on the specified interval).

on the interval [-1,4]

Example 18

Find where the global max and global min of the function occur (on the specified interval).

f (x) = 3(x - 2) + 9 on the interval [-5,5]

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