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eg [tex]\frac{\delta}{\delta t}(\frac{dx}{dt})[/tex]

If it was normal differentiation with respect to t we'd get acceleration, or [tex]\ddot{x}[/tex]. I read somewhere that the partial can be treated as an ordinary if the top part tends to zero as the bottom part does, but if this is not the case? (such as if we had a function of cos which would approach 1)...