It is actually very important to master the law of solving a class of problems. Why is the derivative difficult? Because it is often linked with the knowledge of functions and always tested together, the comprehensive ability of derivative questions is relatively strong.
You can check what you don't know according to the following;
1, monotonicity problem
Studying the monotonicity of functions is one of the main applications of derivatives. In order to solve the problems of monotonicity and parameter range, it is necessary to solve the inequality of derivative function, which often involves the solution of inequality with parameters, or the solution of inequality with parameters that are constant, established and just established. Because the expressions of functions often contain parameters, we should pay attention to the classification and discussion of parameters and the definition domain of functions when studying the monotonicity of functions.
2. Construction method of separation parameters
Parameter separation refers to an inequality that is known as a constant. Parameters can be separated according to the nature of the inequality, and an inequality with one end as a parameter and the other end as a variable can be obtained. As long as we study the maximum value of variable inequality, the problem can be solved.
3. Using derivative to study tangent problem.
The key is to have the abscissa of the tangent point and express it in three sentences. Specifically, the topic must have the abscissa of the tangent point. If there is no tangent coordinate, you must set the tangent coordinate yourself. Then it is formulated in three sentences: ① the tangent point is on the tangent line; ② The tangent point is on the curve; ③ The slope is equal to the derivative. With these three sentences, all tangent problems can be solved by 100%.
4. The application of derivative in extreme value of function.
Using the knowledge of derivative to find the extreme value of function is a common type of problem in high school mathematics. The general steps of finding the extreme value of a function by derivative are as follows: (1) First, find the derivative of the function according to the derivative rule; (2) Make the derivative of the function equal to 0, so as to find the zero point of the derivative function; (3) Starting from the number of zeros of the derivative function, the partition is discussed, and the monotone interval of the function is obtained; (4) Judge the extreme point of the function according to the definition of the extreme point, and finally find the extreme value of the function.