# Definition:Rate of Change

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## Definition

The **rate of change** of a physical quantity is its (first) derivative with respect to time.

Loosely speaking, it means **how fast something changes**, with a wider scope than change in physical displacement.

### Dimension

Let a physical quantity $P$ have dimension $D$.

Then the **rate of change** of $P$ has dimension $D T^{-1}$.

## Sources

- 1937: Eric Temple Bell:
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