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A derivative is to the rate of change as an integral is to?

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Anonymous

 ∙ 13y ago
Updated: 12/23/2022

A derivative is to the rate of change as

an integral is to area/volume.

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Wiki User

 ∙ 13y ago

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Q: A derivative is to the rate of change as an integral is to?
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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.

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