Hello. Is it possible to cancel out terms in derivatives? For example, (dX/dY)/(dX/dZ). Please, note that X reacts in the same way to the changes in Y and Z. In this case, could we write it like this: (dX/dY)/(dX/dZ)=dZ/dY ? thank you in advance.

Question

Hello. Is it possible to cancel out terms in derivatives? For example, (dX/dY)/(dX/dZ). Please, note that X reacts in the same way to the changes in Y and Z. In this case, could we write it like this:  (dX/dY)/(dX/dZ)=dZ/dY  ? thank you in advance.

anonymous · Answer

yes, it is possible. When working with parametric equations you can take $$\frac{ \frac{ dy }{ dt } }{ \frac{ dx }{ dt } } = \frac{ dy }{ dx }$$

anonymous · Answer

thanx a lot