(A) the application of derivatives in the economy

Derivatives play an important role in economic development. With the rapid development of economy, economists have conducted in-depth research on * * * enjoying all kinds of complex competition under the economy. Derivative is of great significance to the study of economics, for example, marginal problems and elastic problems in economics can be solved by derivative. Using derivatives to solve some complex problems in economics can simplify them. Derivative is an important booster to promote the development of economics, and derivative is widely used in economics. In economic management, we can use demand function to express the relationship between demand and influencing demand; For example, when studying the relationship between commodity supply and commodity price, it can be expressed by supply function.

(B) the application of derivatives in physics

Sometimes it is easier to solve high school physics phenomena with derivatives. From the definition of derivative, we use derivative to express physical laws, so that students can better understand and be more accurate. The application of derivative provides a powerful method for learning physics, and also provides a favorable way for us to learn physics, which is convenient for improving students' thinking ability with mathematical thinking. For some physical phenomena, such as finding the minimum tension and maximum speed, we can use derivatives to solve them. For example, an object with a weight of g stops on a horizontal plane with a sliding friction coefficient of u, and one wants to use the minimum pulling force f to make the wood block move at a uniform speed along the horizontal plane, so as to find the minimum pulling force f.

At this time, we can use derivative to analyze and solve. We can find out the known quantity and the unknown quantity, then establish a certain function formula, then find out the derivative, and substitute the data to find out the physical quantity. When the derivative is 0, solve the equation, substitute the independent variables, find the maximum and minimum values, and finally get the minimum tension F. Thus, the derivative is very useful in solving physical phenomena and simplifying complex physical problems.