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Are derivatives and slopes the same thing?

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Adolfo Bartoletti

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Q: Are derivatives and slopes the same thing?
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Unit rate, slope, and rate of change are different names for the same thing. Unit rates and slopes (if they are constant) are the same thing as a constant rate of change.


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The question makes little general sense because the concept of slopes is appropriate when dealing with equations in only two variables.Assuming, therefore, that there are only two variables, then either the slopes are the same or they are different,If the slopes are the same and the intercepts are the same: there are infinitely many solutionsIf the slopes are the same and the intercepts are different: there are no solutionsIf the slopes are different: there is a unique solution.


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