The physical meaning of derivative is that derivative can represent the instantaneous velocity and acceleration of a moving object (in terms of linear motion, the first derivative of displacement versus time is instantaneous velocity and the second derivative is acceleration), the slope of the curve at a point, the margin and elasticity in economics.
Derivative is closely related to physics, geometry and algebra: tangent can be found in geometry; Instantaneous rate of change can be found in algebra; Speed and acceleration can be found in physics.
Derivative, also known as epoch number and WeChat quotient (the concept in differentiation), is a mathematical concept abstracted from the problems of speed change and tangent of curve (the direction of vector speed), also known as change rate.
Extended data
Development:
1, former Soviet Union
Segue Sobolev, a famous mathematician in the former Soviet Union, established the concepts of generalized function and generalized derivative in order to determine the existence and uniqueness of solutions of partial differential equations. The introduction of this concept not only gives new meaning to solving differential equations, but also enables mathematical tools such as functional analysis to be applied to differential equation theory, thus opening up a new world of differential equation theory.
2. America
The field of differential geometry studied by Chinese-American mathematician Chen Shengshen is to study geometry with the theory of calculus. This subject has played a great role in human understanding of the nature of time and space, and it is still very active today. The Poincare conjecture recently completed by Russian mathematician perelman belongs to this field? .
3. China
Math lovers in China discovered the product-multiplication and WeChat business, which further expanded the content of calculus.
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