Current location - Training Enrollment Network - Mathematics courses - What are the better ways for senior high school students to learn derivatives?
What are the better ways for senior high school students to learn derivatives?
High school students can learn derivatives in the following ways:

1. Understanding the concept of derivative: First, we must clarify the definition and meaning of derivative. The derivative represents the tangent slope of the function at a certain point and reflects the rate of change of the function at that point. By understanding the concept of derivative, we can better grasp the nature and application of derivative.

2. Using graphic method: By drawing the image of the function, we can intuitively understand the meaning of the derivative. By observing the changing trend of the function image at a certain point, the derivative value of that point can be obtained. At the same time, by drawing the tangent of the function, we can further understand the relationship between the derivative and the tangent.

3. Applying the concept of limit: The definition of derivative is based on the concept of limit, so it is necessary to master the algorithm of limit skillfully. By solving the limit problem, the formula for calculating the derivative can be derived. At the same time, we should pay attention to the conditions of limit existence and avoid non-existent problems.

4. Use the properties of derivatives: derivatives have some basic properties, such as normal multiples, addition and subtraction, composite functions and so on. Using these properties flexibly can simplify the calculation process of derivatives and improve the efficiency of solving problems.

5. Do more exercises: Derivative is one of the important contents of high school mathematics, which needs to be consolidated and improved through a large number of exercises. You can choose some classic exercises to practice and gradually improve your problem-solving ability and proficiency.

In a word, learning derivative needs to understand the concept, use the graphic method, master the concept and nature of limit, and improve the problem-solving ability through a lot of practice.