Some Research On Proving Elementary Inequality By Derivative

The proof of elementary inequality is an important part of mathematics learning in high school and university.Function derivation is also important knowledge of mathematics learning.Therefore,the combination of the two is the key examination object of college entrance examination.In mathematics,there are many basic methods to prove elementary inequalities.The paper mainly explore the application of derivative in the proof of elementary inequalities.The main contents are as follows:Firstly,analyzing the college entrance examination(national and Liaoning version)about science mathematics from 2009 to 2018,and obtain the knowledge points,types,methods and ideas of the elementary inequalities.And also analyze ‘ Mathematical Analysis’ of higher mathematics teaching material,and obtaine many new theorems for proving elementary inequalities.Secondly,exploring the way of derivation of constructors and Using derivatives to prove elementary inequalities mainly by theorems and examples,and conclude that several methods are not necessarily independent.Lastly,through classroom examples,demonstrating the use of derivative proof elementary inequality,observe students’ acceptance of this aspect,and put forward some common problems and suggestions when students learn this knowledge.