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Math question: What is speed? Why is the derivative the rate of change of a function?
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As for the distance traveled by a moving object in a unit time, it can be used to measure the speed of the object's movement, but it is not exact and only represents the comparison of the average level.

The power and slope are similar.

In mathematics, "rate" refers to the speed at which "dependent variable" changes with "independent variable" (pay attention to the dependent variable first), which can measure the development trend of things.

For example, the derivative is defined as the limit of the ratio of the variation of a function to the variation of an independent variable, regardless of the limit problem (the limit is only a means to accurately determine this ratio), which refers to the speed at which the function value changes.

Another example is life. A person has a high starting point and a low starting point, but the speed of their progress is a good indicator to measure their life value.

Hehe, it's the first time to log in and answer questions for the first time. Hope to advise!