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What is the first derivative used for?

Updated: 12/14/2022
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Answerman1621

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13y ago

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The first derivative f'(x) gives the instantaneous slope of f(x). If f'(x) is positive, then f(x) is increasing (positive slope), and if f'(x) is negative, then f(x) is decreasing (negative slope). If f'(x) = 0, then the graph of f(x) is flat at the point (slope = 0).

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Q: What is the first derivative used for?
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