The Derivative is the instantaneous rate of change of a function. An integral is the area under some curve between the intervals of a to b. An integral is like the reverse of the derivative, Derivatives bring functions down a power, integrals bring them up, in-fact indefinite integrals (ones that do not have specifications of the area between a to b) are called anti derivatives.
Distinguish between a public law relationship and a private law relationship.
What is the relationship between ethics and WHAT? You need at least two things to have a relationship.
a relationship between brothers should be sacred and good....
there is no relationship
well the relationship between mass and force is..........*relationship... Force=mass x acceleration
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
there is no diffference, i think...
In simple language, derivative is rate of change of something and integral represents the area of a curve whose equation is known.
A derivative is to the rate of change asan integral is to area/volume.
We say function F is an anti derivative, or indefinite integral of f if F' = f. Also, if f has an anti-derivative and is integrable on interval [a, b], then the definite integral of f from a to b is equal to F(b) - F(a) Thirdly, Let F(x) be the definite integral of integrable function f from a to x for all x in [a, b] of f, then F is an anti-derivative of f on [a,b] The definition of indefinite integral as anti-derivative, and the relation of definite integral with anti-derivative, we can conclude that integration and differentiation can be considered as two opposite operations.
Integration and differentiation effectively un-do each other. The derivative of the integral of a function is usually the original function. The reverse is also true, to a point.
The relationship between acceleration and the derivative of velocity is that acceleration is the rate of change of velocity. In other words, acceleration is the derivative of velocity with respect to time.
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
The proportional integral and derivative control system or PID control system consists of proportionsl, derivative and integral elements which gives a very efficient process control.
The relationship between velocity and the derivative of position is that velocity is the derivative of position with respect to time. In other words, velocity is the rate of change of position over time.
The relationship between force and the derivative of energy is described by the principle of work and energy. The derivative of energy with respect to distance is equal to the force acting on an object. This relationship helps to understand how forces affect the energy of a system.
It is an inverse function of a derivative, also known as an integral.