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

Solve 2[x]=x+{x},w h r e[]a n d{} 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 : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

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 .

The total number of solutions of [x]^2=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively, is equal to: 2 (b) 4 (c) 6 (d) none of these

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.

If f(x)=[x]^({x}) +{x}^([x]) + sin (pix) , Where [.] and {.} represent the greatest integer function and the fractional part function respectively, then f'(7/2) Is equal to

Let f(x) = log _({x}) [x] g (x) =log _({x})-{x} h (x) = log _([x ]) {x} where [], {} denotes the greatest integer function and fractional part function respectively. Domine of h (x) is :

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

The function f( x ) = [x] + sqrt{{ x}} , where [.] denotes the greatest Integer function and {.} denotes the fractional part function respectively, is discontinuous at