If `f(x)=cos{(pi)/(2)[x]-x^(3)},1 lt x lt 2and[x]=` the greatest integer `lex`, then find `f'(root(3)((pi)/(2)))`

If f(x)=cos{pi/2[x]-x^3}, 1

If f(x)=cos{(pi)/(2)[x]-x^(3)},1ltxlt2 , and [x] denotes the greatest integer less than or equal to x, then the value of f'(root(3)((pi)/(2))) , is

If f (x) = cos (x ^(2) -4[x]), 0 lt x lt 1, (whre [.] denotes greatest integer function) then f '((sqrtpi)/(2)) is equal to:

If f(x)=cos[pi^(2)]x+cos[-pi^(2)]x , where [x] stands for the greatest integer function, then

If f(x)=cos[pi^(2)]x+cos[-pi^(2)]x, where [x] stands for the greatest integer function,then (a) f((pi)/(2))=-1( b) f(pi)=1( c) f(-pi)=0 (d) f((pi)/(4))=1

If f(x)= cos [(pi^(2))/(2)] x + sin[(-pi^(2))/(2)]x,[x] denoting the greatest integer function,then

If f(x)=cos[(pi)/(x)]cos((pi)/(2)(x-1)); where [x] is the greatest integer function of x, then f(x) is continuous at :