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A rate of change in a variable Y, if not further qualified, is the change in Y for a unit change in time.

However, the rate of change may be defined in terms of a unit change in some other variable (X).

In graphical terms, the rate of change for a straight line is its gradient whereas for a curve, the rate of change at a point is the gradient of the tangent to the curve (if a tangent can be defined).

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Q: What does rate of change mean in math?
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