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Update related_rates.qmd

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some typos. 
And it seems the last Example is unfinished.
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Fang Liu 2023-05-08 16:57:42 +08:00 committed by GitHub
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quarto/derivatives/related_rates.qmd
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@ -182,7 +182,7 @@ How can this relationship be summarized? Well, let's go back to what we know, th
diff(A(t), t)
```
This should be clear: the rate of change, $dA/dt$, is increasing linearly, hence the second derivative, $dA^2/dt^2$ would be constant, just as we saw for the average rate of change.
This should be clear: the rate of change, $dA/dt$, is increasing linearly, hence the second derivative, $d^2A/dt^2$ would be constant, just as we saw for the average rate of change.
So, for this problem, a constant rate of change in width and height leads to a linear rate of change in area, put otherwise, linear growth in both width and height leads to quadratic growth in area.