Optimization Using the Second Derivative Test - Concept

Concept Concept (1)

Some optimization problems can be solved by use of the second derivative test. If the second derivative is always positive, the function will have a relative minimum somewhere. If it is always negative, the function will have a relative maximum somewhere. Other ways of solving optimization problems include using the closed interval method or the first derivative test.

Sample Sample Problems (3)

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Optimization Using the Second Derivative Test - Problem 1
Problem 1
How to use the second derivative test to find the maximum volume a box can have.
Optimization Using the Second Derivative Test - Problem 2
Problem 2
How to use the second derivative test to find the minimum surface area of a given volume.
Optimization Using the Second Derivative Test - Problem 3
Problem 3
How to use the second derivative test to maximize area, given information about its dimensions.