Some Problems....

(1).. If f(x)=sqrt(x+(2*sqrt(2x-4))) + sqrt(x-(2*sqrt(2x-4))) ;
then f(x) is differentiable on

..(a) (-infinite,+infinite)
..(b) [2,+infinite)-{4}
..(c) [2,+infinite)
..(d) none of these

(2)..(more than one answer type)
...If f(x)=[x sin(pi*x)] where [.] denotes greatest integer less than or equal to x , then f(x) is
..(a) continuous at x=0
..(b) continuous in (-1,0)
..(c) differentiable at x=1
..(d) differentiable in (-1,1)

(3)..Discuss the continuity & diffrentiability of function f(x)=1+|sin x|

(3)