Optimization Using the First Derivative Test - Concept

Concept Concept (1)

Some optimization problems use the first derivative test to find an absolute minimum or maximum. Using the first derivative test requires the derivative of the function to be always negative on one side of a point, zero at the point, and always positive on the other side. Other methods of solving optimization problems include using the closed interval method or the second derivative test.

Sample Sample Problems (3)

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Optimization Using the First Derivative Test - Problem 1
Problem 1
How to use the first derivative test to identify a function's absolute minimum or absolute maximum.
Optimization Using the First Derivative Test - Problem 2
Problem 2
How to use the first derivative test to find the minimum value of some number a in a given function.
Optimization Using the First Derivative Test - Problem 3
Problem 3
How to find the minimum area of a triangle by using the first derivative test, given one known point and two unknown points.