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在求解函数导数综合问题中,我们经常遇到因导函数是超越函数形式,而造成导函数的零点无法确定,进而导致原函数的单调区间、极点、极值、最值等相应受阻,更谈不上以此研究函数的图像性质、方程根的分布、不等式成立等一系列经典问题.为此,笔者提出构设导函数的辅助零点,突破导函数“无法求解”这一瓶颈,打通原函数研究的常规思路,巧妙利用导函数零点存在的等量关系进行代换,从而实现导函数
In solving the problem of synthesis of function derivatives, we often encounter that the derivative function is transcendental, and the zero of the derivative of the derivative function can not be determined. As a result, the monotonous intervals, poles, extremums, Therefore, we propose a series of classical problems such as the image properties of the function, the distribution of the root of the equation, the establishment of the inequality, etc. Therefore, the author proposes to construct the auxiliary zero of the derivative function and break the bottleneck of the derivative function “unable to solve ” The original idea of the original function of the study, clever use of zero-point conduction exists the same amount of substitution, in order to achieve the derivative function