The Application of Derivative in Optimization Problems
Derivative is one of the fundamental concepts of calculus.It reflects the speed with which one quantity changes with another quantity.Therefore,in mathematics,it is a very important tool to study the image and properties of functions,and plays an irreplaceable role in the process of stud-ying functions.In physics it can be expressed as instantaneous velocity or acceleration.It is often used in economics for marginal analysis in order to make optimal production decisions."Change"is the basic property of the objective world,and anything that changes can be found out its"Instantaneous state"by derivative.This paper illustrates the wide application of derivatives in different fields from many angles.