ics education in Science&Technology,1993. 17 (1):71-77.РIntroduction to the application of the calculus in mathematics teaching of middle schoolРHE Kai-xiР(Grade11,Class1, Mathematics and applied mathematics, school of Mathematics puter Science,Shaanxi University of Technology, Hanzhong 723000, Shaanxi)РTutor: Quan Shuang-yanРAbstract: Calculus in middle school mathematics plays a very important role, its theory through elementary mathematics, and extend to higher mathematics. This paper summarizes the application of calculus in function extreme value with the most to prove the monotone of function, inequality and identities, image rendering function, Planar graphics area and seek tangent equations, etc.РKeywords: elementary mathematics ; higher mathematics ; derivative ; definite integral