Discuss the differentiability of `f(x) =x[x]{x}`in interval [-1,2] , where [.] and {.} denotes the greatest integer function and fractional part fntion , respectively .

Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function and the fractional part function, respectively.

f(x)=[x^(2)]-{x}^(2), where [.] and {.} denote the greatest integer function and the fractional part function , respectively , is

Solve 2[x]=x+{x},w h r e[]a n d{} denote the greatest integer function and the fractional part function, respectively.

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

Solve the equation [x]{x}=x, where [] and {} denote the greatest integer function and fractional part, respectively.

Discuss the continuity and differentiability for f(x) = [sin x] when x in [0, 2pi] , where [*] denotes the greatest integer function x.

If f(x) = [x^2] + sqrt({x}^2 , where [] and {.} denote the greatest integer and fractional part functions respectively,then

Solve (x-2)[x]={x}-1, (where [x]a n d{x} denote the greatest integer function less than or equal to x and the fractional part function, respectively).

The number of non differentiability of point of function f (x) = min ([x] , {x}, |x - (3)/(2)|) for x in (0,2), where [.] and {.} denote greatest integer function and fractional part function respectively.

Solve 1/[x]+1/([2x])= {x}+1/3 where [.] denotes the greatest integers function and{.} denotes fractional part function.