How to pronounce“dxdt”in English
IPA/dksdt/
Syllablesdxdt
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5:30
So the derivative of x = t^2 is just 2t. Which means that no matter how many seconds you’ve had your foot on the gas, your velocity will be 2t -- so, double the number of seconds.
After 5 seconds, you were going a modest 10 ms. But after 20 seconds, you were going a full 40 ms. Which is not good. We'd write that like this, where dxdt is just a way of
saying that we're taking the derivative of the part of the equation that involves t.
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