《医用高等数学》中反函数在微积分中的应用探讨

Discussion of Application of Inverse Function in Calculus in《Medical Advanced Mathematics》

探讨了反函数在一元函数微积分中的应用。在微分学中,借助隐函数求导法则,给出了反函数求导法则的另一种证明方法,该法更易理解,而且也通过实例进一步说明了该法的可行性;在积分学中,通过对实例的分析发现利用反函数来求不定积分也是求解不定积分的一种有效方法。将该部分内容渗入教学,可开拓学生的思维,提高教学的效果。

In this paper the author discussed the application of inverse function in Calculus of one variable.In differential calculus,using implicit function derivative rule,the author gave another proof of inverse function derivative rule,which was easier to understand,and then illustrated the feasibility of this method from examples;In integral calculus,using inverse function to solve the indefinite integral was an effective method.The application of inverse function in calculus for teaching can develop students＇ thinking and improve teaching effect.