Discuss the differentiability of ` f(x) |[x]| x| "in" -1 lt x le 2,` where [.] repesents the greatest intger function .

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 .

Discuss the differentiability of function f(x)=x-|x-x^2|

Discuss the contiuity of the funtion f(x) =[x] +|1-x|, -1 le xle 3, where [.] represents the greatest integer function .

Discuss the differentiability of f(x)= [x] +|1-x| , x in (-1,3),w h e r e[dot] represents greatest integer function.

Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e[dot] represents greatest integer function.

Draw the graph of f(x) = [tan x], 0 le x le 5pi//12 , where [*] represents the greatest integer function.

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

Discuss continuity of f(x) =[sin x] -[cos x] at x=pi//2, where [.] represent the greatest integer function .

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.