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anonymous
 4 years ago
f(x)=[[x]] what does the double bracket mean?
anonymous
 4 years ago
f(x)=[[x]] what does the double bracket mean?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It means any x will be the integer below it, for example f(1.999)=1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but they want me to get the derivative of it and graph the derivative..

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and they get a really weird graph, where it is unknown on every whole number

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328116598663:dwThe graph of f(x)=[[x]] looks like

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes, but they want me to get the derivative, one second let me draw it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It's called the "greatest integer function"

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It's not differentialiable at any integers because the graph is discontinuous at all integers

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1328116744272:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that is a bar drawing, but ya get the picture

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Any the derivative everywhere else is 0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0because they are horizontal lines

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so.. the double brackets means that it is discontinuous at all integers?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no...the double brackets mean it's the greatest integer function

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0as you can see from my crude drawing, at every integer the graph is discontinous

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0they if it is "greatest integer" wouldn't ti still be an integer?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The greatest integer function means the greatest integer less than x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0less than or equal to x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But if you plug in any value for x, say 1.98271, f(x)=1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0then if it = 1 then why is it not defined at one? and i am sorry I am not understanding this

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The differential is not defined at 1, f(x)=[[x]] is defined

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh, now i get it, because we are getting the derative of it that is why it is 0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry, my mind just wasn't working on all 4 cylinders
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