1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Derivative vs integral

  1. Feb 7, 2006 #1
    it is simple but i have some suspession about it
    when the integral and derivative of some func can commute ?
    for ex. is it possible to say
    [tex]
    \frac{{\partial ^{} }}{{\partial y^{} }}\int_a^b {f(x,y)dx} = \int_a^b {\frac{{\partial ^{} }}{{\partial y^{} }}f(x,y)dx}
    [/tex]



    or are there any condition for f(x,y) to satisfy?(?any toplogical condition other than f integrable)
     
    Last edited: Feb 7, 2006
  2. jcsd
  3. Feb 7, 2006 #2

    quasar987

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I my book, the theorem reads: "If M(x,y) and dM/dy are continuous functions on some region R, then < what you wrote >"

    I assume it is implied that the region R contains the interval [a,b]
     
  4. Feb 8, 2006 #3
    thanks for reply
    can you give me the name/author of the book or thm itself ?
     
  5. Feb 8, 2006 #4

    benorin

    User Avatar
    Homework Helper

  6. Feb 8, 2006 #5

    quasar987

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Book has no name. Written by my college professor or multivariable calculus.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Derivative vs integral
Loading...