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Home Q & A Board Science-Related Homework Help Mathematics
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jtrieu2 jtrieu2
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10 years ago
I understand that the first derivative tells where the function is increasing and decreasing, but can a graph of the first derivative of a function reveal the concavity of the function (Noted that the only thing given is the first derivative graph.. there is no graph of the function nor numerical values of the function)?
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10 years ago
When the first derivative is above the x-axis the orginal function is increasing and when the first derivative is below the x-axis the orgininal function is decreasing. When the first derivative is increasing the original function is concave up. When the first derivative is decreasing the original function is concave down.
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