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Mathematics
Calculus
Is It Possible? Solving Calculus Questions with Ease
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[QUOTE="topsquark, post: 6823977, member: 46422"] What you wrote was essentially correct. But... 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 [I]can[/I] "cancel" the dt's. It's a similar effect to the chain rule: ##\dfrac{d \theta }{dx} = \dfrac{d \theta }{dt} \cdot \dfrac{dt}{dx}##. Again, there is no real cancellation, but it appears that way. 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 [/QUOTE]
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Is It Possible? Solving Calculus Questions with Ease
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