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instantaneous rate of change

Instantaneous Rate of Change

The rate of change at a particular moment. Same as the value of the derivative at a particular point.

For a function, the instantaneous rate of change at a point is the same as the slope of the tangent line. That is, it's the slope of a curve.

Note: Over short intervals of time, the average rate of change is approximately equal to the instantaneous rate of change.

 

 

See also

Instantaneous velocity, mean value theorem

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