Friday, 16 February 2018

calculus - dx=fracdxdtdt. Why is this equality true and what does it mean?

dx=dxdtdt. I know that this deduction is obvious from the chain rule, given that we treat our dx and dt as just numbers. But I find it quite unsatisfactory to think of it in that sense. Is there a better / more "calculus-inclined" way of thinking about this equality. Can you please explain both the LHS and RHS individually.

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