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一、考纲内容1.导数在函数中的应用(1)了解函数单调性和导数的关系;能利用倒数研究函数的单调性,会求函数的单调区间(其中多项式函数一般不超过三次).(2)了解函数在某点处取得极值的必要条件和充分条件;会用导数求函数的极大值、极小值(其中多项式函数一般不超过三次);会求闭区间上函数的最大值、最小值(其中多项式函数一般不超过三次).(3)利用导数求函数在某点处的切线斜率及切线的方程问题.
First, the syllabus 1. Derivatives in the function of the application (1) to understand the monotonicity of the function and the relationship between derivatives; can use the reciprocal of the monotonicity of the function, will seek the monotonous range of the function (in which the polynomial function is generally not more than three times.) 2) Know the necessary and sufficient conditions for the function to obtain the extremum at a certain point; Use the derivative to find the maximum and minimum of the function (where the polynomial function does not exceed three times in general); Find the maximum value of the function in the closed interval , The minimum value (which polynomial function is generally not more than three times.) (3) the use of derivatives to find the function at a point tangent slope and tangent equation problem.