Is there a way to prove the quotient rule using differentials

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  • #2
rock.freak667
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y= u/v

when you have

[tex]\Delta y = \frac{v \Deltau - u \Deltav}{v^2 +v \Delta v}[/tex]

[tex]\frac{\Delta y}{\Delta x} = \frac{v \frac{\Delta u}{\Delta x} - u \frac{\Delta v}{\Delta x}}{v^2 +v \Delta v}[/tex]

as Δx→ 0, Δv→ 0
 
  • #3
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d'oh, didn't think about vdv as dv approaches zero

thanks!
 

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