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woundedtiger40 Group Title

what is the difference between dy/dx & ∂y/∂x aren't both same?

  • 2 years ago
  • 2 years ago

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  1. No-data Group Title
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    I have the same doubt

    • 2 years ago
  2. Rohangrr Group Title
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    follow this : http://mathoverflow.net/questions/73492/how-misleading-is-it-to-regard-fracdydx-as-a-fraction

    • 2 years ago
  3. woundedtiger40 Group Title
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    both d ∂ symbol work same in differentiation but then why sometimes in text d is used & sometimes ∂

    • 2 years ago
  4. No-data Group Title
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    I read that dx is for exact differential and the other one for inexact differentials.

    • 2 years ago
  5. arcticf0x Group Title
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    dy/dx is the differentiation of y wrt x, while del y/del x is the partial derivative of y wrt x keeping all other variables constant.

    • 2 years ago
  6. woundedtiger40 Group Title
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    so ∂ is part of multivariable calc & d is a part of single variable calc? am i right? @arcticf0x

    • 2 years ago
  7. arcticf0x Group Title
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    Yes

    • 2 years ago
  8. No-data Group Title
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    But that means that dy/dx is a special case of the other no, and that is not the case.

    • 2 years ago
  9. .Sam. Group Title
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    DIfferent

    • 2 years ago
  10. lgbasallote Group Title
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    isnt the curved d used for partial derivatives?

    • 2 years ago
  11. woundedtiger40 Group Title
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    @arcticf0x yeah you are right because I first encountered with ∂ in calc3 (multi) whereas in calc1&2 only used d

    • 2 years ago
  12. arcticf0x Group Title
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    Yeah, check this out too http://en.wikipedia.org/wiki/Partial_derivative

    • 2 years ago
  13. woundedtiger40 Group Title
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    thanx @arcticf0x

    • 2 years ago
  14. No-data Group Title
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    I read that a little amount of work must be represented with this \[\partial W\] and not \[dW\] but I still don't get the reasong.

    • 2 years ago
  15. .Sam. Group Title
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    lets say x^2-2y=2 If you take dy/dx, using implicit differentiation, \[2x-2\frac{dy}{dx}=0\] \[\frac{dy}{dx}=x\] --------------------------------------------- ∂y/∂x,= 2x-0=0 ∂y/∂x,= 2x

    • 2 years ago
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