幂指函数的求导法则

The Theorem of Finding the Derivative by Combinationof Power and Exponent Function

对于幂指函数求导数一般采用取对数求导法,在幂指函数求导数中,可把指数看作常数的复合函数的导数与把底数看作常数的复合函数的导数之和进行求解。

The method of finding the derivative by combination of power and exponent function normally lies in the application of the logarithm. In this process, we can find the answer either by regarding the exponent as the derivative of the constant’s compound functions or by regarding the base as the sum of the derivatives of the costant's compound functions.