1, limit formula: the limit formula is a mathematical formula used to describe that when the independent variable approaches a certain value, the function value approaches a certain value. Limit formula is the basis of limit theory, which is very important for understanding and solving limit problems.
2. Derivative formula: describes the slope of the function at a certain point, that is, the slope of the tangent of the function at a certain point. Derivative formula includes the derivative formula of basic elementary function, four operation formulas of derivative, compound function formula of derivative, inverse function formula of derivative, implicit function formula of derivative, parameter equation formula of derivative, etc.
3. Integral formula: describe the solution method of definite integral. The integral formula includes the integral formula of basic elementary function, the solution formula of indefinite integral, the geometric meaning and application of definite integral, and the solution method of variable limit integral.
4. Differential equation formula: the solution method of differential equation describing dynamic process. The differential equation formula includes the solution of the first-order differential equation and the solution of the second-order linear differential equation with constant coefficients.
How to deepen the understanding of the formula
1, choose the right topic: choose the topic related to the formula you have learned, and gradually increase the difficulty from simple to complex, so that you can gradually understand and master the formula. Carefully analyze the topic before doing it, and determine the formulas and methods you need to use. This will help you better understand the relationship between the topic and the formula.
2. Do more exercises: Doing more exercises can help you better master formulas and application methods. Through constant practice, we can deepen our understanding and memory of the formula.
3. Think independently: Try to solve problems independently, and don't look up the answers immediately. This will help you better understand the application and derivation process of the formula. After you finish the problem, summarize the problem, analyze the causes of the mistakes, and summarize the methods and skills of solving the problem, which will help you better master the formula and application methods.