Question

（急）哪位好心人请帮忙，帮我把下面这段文字翻译成英文，不胜感激，谢谢了！！！

函数的极值问题是高等数学中数学分析的一个最基本，也是最重要的内容之一。当今社会，这一问题被广泛应用在经济领域、科技领域、工农业生产以至于人们的日常生活中。由于它的重要性和应用广泛，加之它本身变化纷繁，人们对它的研究方法也较多。特别是在二元函数极值存在的判别方法问题上，通过对它的学习与研究，并逐步掌握它，将不仅可以丰富多元函数微积分理论知识，而且也有助于整个高等数学的发展。
本文主要介绍了在教材数学分析已有知识的基础上进一步探讨二元函数极值存在的判别方法。就这些问题，笔者通过交流探讨，并对一些参考文献和资料进行综合分析，并且运用office、公式编辑器等计算机应用软件来对课题进行研究，最终形成理论。

Answer 1

The extremum problems of higher mathematics is mathematical analysis in one of the most basic, is also one of the most important content. In today's society, the problem is widely used in the areas of the economy, science and technology, industrial and agricultural production that People's Daily life. Because of its importance and wide application, and it changes the numerous itself, people on its research methods and more. Especially in the dual function of the existence of extremum problems identifying method, through the study and research to it, and gradually grasp it, and can not only enrich the function of many theoretical knowledge of calculus, and also help to the development of the whole higher mathematics.

This paper mainly introduces the mathematical analysis in teaching materials on the basis of the existing knowledge further to explore the function extreme value of RMB existing identification method. Will these problems, the writer through the exchange study, and some reference and material analysis, and use the office, formula editor, computer application software to subject research, and finally form a theory.

Answer 2

The function of the extremal problem is one of the most basic, higher mathematics, mathematical analysis is the most important one. In today's society, this problem has been widely used in the economic field, the field of science and technology, industrial and agricultural production so that people's daily lives. Because of its importance and wide range of applications, combined with itself changes are numerous, it's research methods are also more. Binary function extremum of the Criterion, through its study and research, and gradually master it, will not only enrich the multi-function calculus theoretical knowledge, but also contribute to the development of the higher mathematics.
This paper describes the textbooks mathematical analysis of existing knowledge on the basis of further explore the discrimination by the extreme value of the binary function. On these issues, the author through the exchange of discussion, and references and data analysis, and the use of the office, formula editor, and other computer applications to research topics, and ultimately the formation of the theory.

Answer 3

Finding the extreme values of a function is one of the most basic and the most important topics in the advanced mathematical analysis. In the modern society, this kind of problems has been greatly applied in the economical, scientific, agricultural, industrial fields and people's daily life. Due to its significance and broad applications as well as its complex variety, people have come out with a number of methods to study the problems, especially in problems of determining whether a double variable function has extremities. By studying this particular type of question and gradually learning to apply it, people can not only extend their theoretical knowledge of multi-variable calculus, but also improve the overall development of the high-level mathematics.
This article mainly introduces the discrimination methods of further exploring the existence of extremities of a double variable function, on the base of the mathematical analysis knowledge provided by the textbooks. To resolve those problems, the author has had several discussions (with other scholars), analysed and studied some reference articles and materials, used software such as Office, equation compiler, and eventually proposed a theory..