0
A derivative is to the rate of change as
an integral is to area/volume.
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What is the difference between anti derivative and integral?
In simple language, derivative is rate of change of something and integral represents the area of a curve whose equation is known.
What is the geometrical meaning of second derivative?
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
What is the second derivative of a function's indefinite integral?
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.
Does The second derivative represent the rate of change of the first derivative?
Yes.
How does one figure the rate of change?
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
What is the difference between anti derivative and integral?
In simple language, derivative is rate of change of something and integral represents the area of a curve whose equation is known.
What is the geometrical meaning of second derivative?
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
What is the second derivative of a function's indefinite integral?
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.
Relationship between integral and derivative?
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.
Does The second derivative represent the rate of change of the first derivative?
Yes.
How does one figure the rate of change?
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
How do you find rate of change if change is not constant?
Find the derivative
Why a constant's derivative is always zero?
One definition of the derivative is: "Rate of change". Since a constant is constant, it doesn't change, and the rate at which it changes is zero.
What is the derivative of just a constant?
0 A derivative is the rate of change of a function as another variable changes. As there is no change to a constant, the derivative is necessarily 0.
What is the proportional integral and derivative control system response?
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.
When derivative is used?
To determine the rate of change of a system.
What is another name for the rate of change?
The derivative, if it exists.
