绵阳师范学院毕业论文.doc

绵阳师范学院
本科生毕业论文(设计)
题目导数的求解及其在高等数学中的应用
专业数学与应用数学
院系数学与计算机科学学院
学号 1008080922
姓名陈恭甫
指导教师万吉湘
答辩时间
论文工作时间:2014年 10 月至 2015年 5 月
导数的求解及其在高等数学中的应用
学生: 陈恭甫
指导教师: 万吉湘
摘要:
自从英国著名的物理学家—牛顿和德国著名的数学家—莱布尼茨创立了微积分学以来,导数在高等数学领域里占据了非常重要的地位。微积分可以说是高等数学发展的各个分支的奠基石,同时也是研究高等数学的理论基础。要研究导数在高等数学中的应用首先要会求导数,导数的求解方法也是千变万化的,在本文中我们将进行一一研究。但仅仅会求导数还不能解决什么问题,能够求解导数那仅仅标志着刚刚跨过学****导数的起跑线。而学****导数就是为了能够利用导数来解决问题,这才是最终目标。有了这个目标,我们的研究就不乏方向了。求解导数是基础,导数应用是最终目标。这两个问题是息息相关的,相辅相成的。因此,把这两个问题一起进行研究是很有必要的。如今全球科技水平突飞猛进,这样的发展速度也标志着科技对数学需求达到了巅峰,尤其是微积分学的作用不容忽视。所以我们研究导数的求解和应用是适应社会发展需要的。
关键词:高等数学,导数求解,导数应用
The solution of the derivative and its application in higher mathematics
Students: Chen gongfu
Tutor: Wanjixiang
Pick to:
Since the famous British physicist - Newton and well-known German mathematician - since leibniz created calculus, derivative in the field of higher mathematics occupies very important position. The calculus is the cornerstone of the various branches of the development of the higher mathematics, and \the same time is the basic theory of studying higher mathematics,too. To study the application of derivative in higher mathematics ,we must first learn how to calculate the method of calculating the derivative is protean, in this article, we will carry out research. But only understand how to solve the derivative can't solve the problem, which only marked acrossed the starting line of the studying of derivative just now. To study derivative is in order to be able to use derivative to solve the problem, this is the ultimate goal. With this goal, we study some direction. To solve the derivative is the foundation, derivative application is the ultimate goal. The two problems are closely linked plementary to each other. Therefore, to study the two issues together is very necessary. Global technology by leaps and bounds, such development speed also marks the science and technology has reached the peak demand for mathematics, in particular, the role of calculus that nots