why cant f(x)=[x]+[-x] be differentiated even though f(x)=-1 for all x???
[x] represents the greatest integer function...
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5 Answers
62it is not -1 for all x!!
for x=0 or 1 or 2 it is 0
I hope it clears your doubt :)
it can be differentited at non integer points :)
but not at integer points
62yeah i know buddy...
but did u realise that [0]+[-0]=0??
[ 1]+[-1]=0??
62no dear [-0] = 0
i am afraid u are wrong!
[-0.00000001] = -1 but for integers [-0]=0
the definition of [x] is
[x] = x- {x} where {x} is the fractional part of x!