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在高等职业学校高等数学多元函数微积分教学内容中,多元隐函数二阶导数的求解由于并没有沿用该章节隐函数的一阶导数求解方法,学生在学习中会产生一些疑问,这是由于对函数的复合理解不够深入,甚至导致对二阶偏导数求解出现错误。本文针对学生在这一内容的学习中出现的问题,挖掘根源,找到学生理解的不足。并进行知识与方法总结,对高等教学提供具有参考意义的教学方法和学习参照。
In higher vocational mathematics multivariable calculus teaching content, the multivariate implicit function of the second derivative of the solution is not used as the chapter of the first derivative of the implicit function to solve the problem, students will have some questions in the study, which is due to Compound understanding of the function is not deep enough, and even led to the second-order partial derivative error. This article aims at students ’problems in the study of this content, digs the root causes and finds out the deficiencies of students’ understanding. And summarize the knowledge and methods, to provide reference teaching methods and learning references for higher education.