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Second Derivatives and Beyond

Second Derivatives and Beyond

Example 1

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

Example 2

Find the global max and min of the function f (x) = x2 + 2 on the interval [ -4 , 5 ].

Example 3

On the interval [-3,3], where is the function f (x) = x3 + 12x largest?

Example 4

On the interval [0,3], where is the function f (x) = x3 + 12x smallest?

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