一阶微分的形式不变性在一元微分学中的应用

The Application of the Invariance of First Order Differential Forms in the Differential Calculus for Function of One Variable

利用一阶微分形式不变性求解微商,可以避免较复杂的复合函数微商问题,介绍利用一阶微分形式不变性求解隐函数、参数形式的函数的微商以及相关变化率的问题。

By use of the invariance of first order differential form, we can avoid solving the derivate of complex composite function and we can also solve the implicite function, the derivate of parametric function, and the problem of correlation change rate.