If `f(x)={x[x],0 leq x leq 2 and (x-1)[x], 2 leq x leq 3` , where `[x]` denotes the greatest integer function, then

If f(x)=[2x], where [.] denotes the greatest integer function,then

If f(x)={(x[x], 0lexlt2),((x-1)[x], 2lexle3'):} , where [.] denotes the greatest integer function, then

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

If f(x)=sgn(x-2) xx [In x], 1leq x leq 3 and {x^2} ,-3 lt x leq 3.5 where [.] denotes the greatest integer function and {.} represents the fractional part functon, then the number of points of discontinuity in [1,3.5] is

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :