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What you wrote was essentially correct. But...TL;DR Summary:.

Hi, just wondering if that's possible in calculus.

(See the attachment)

In reality? No. The derivative notation ##\dfrac{d \theta }{dt}## is not actually a fraction so you cannot cancel the dt's.

However, in practice you

Mathematicians in the 1800s spent a great deal of time showing how you can treat a differential element as a fraction. Most of the time you can get away with it.

-Dan

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