Examine the differentiability of the function 'f' defined by :
`f(x)={{:(2x+3",if "-3lexlt-2),(x+1",if "-2lexlt0),(x+2",if "0lexle1):}`.

Examine the differentiability of f, where f is defined by f(x) = {{:(x[x],if0lexlt2),((x-1)x,if2lexlt3):} at x = 2

Examine the differentiability of f , where f is defined by f(x) = {{:(x[x],if0lexlt2),((x-1)x,if2lexlt3):} at x = 2

Discuss the continuity of the function f, where f is defined by : f(x)={{:(2x", if "xlt0),(0", if "0lexle1),(4x", if "xgt1):}

Examine the differentiability of the function f defined by -2<=x<0x+2,quad if 0<=x<=f(x)={2x+3,quad if quad -3<=x<=-2x+1,quad if quad -2<=x<0x+2,quad if 0<=x<=

Discuss the continuity of the function : f(x)={{:(x", "0lexlt1/2),(1/2", "x=1/2),(1-x", "1/2ltxle1):} at x=1/2

The functions defined by f(x)="max" {x^(2),(x-1)^(2),2x(1-x)}, 0lexle1

The function f defined by f(x)=(4sinx-2x-xcosx)/(2+cosx),0lexle2pi is :

Find the range of the function f(x)=[x],1lexlt3