differentiation

why cant f(x)=[x]+[-x] be differentiated even though f(x)=-1 for all x???
[x] represents the greatest integer function...

5 Answers

62
Lokesh Verma ·

it 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

1
rk91 ·

[x] represents the greatest integer function...

62
Lokesh Verma ·

yeah i know buddy...

but did u realise that [0]+[-0]=0??

[ 1]+[-1]=0??

62
Lokesh Verma ·

no 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!

1
rk91 ·

oh right,,,,thank u....

Your Answer

Close [X]