Discuss the continuity and differentiability in `0,2]` of `f(x)={|2x-3|[x], xgeq1sin((pix)/2), x<1` to where [.] denotes the greatest integer function.

Discuss the continuity and differentiability in [ 0,2] of f(x)={|2x-3|[x], xgeq1 sin((pix)/2), x<1 to where [.] denotes the greatest integer function.

Discuss the continuity and differentiability in 0,2] of f(x)={|2x-3|[x],x>=1sin((pi x)/(2)),x<1 to where I.l denotes the greatest integer function.

Discuss the continuity and differentiability of 1-x,x 2

Discuss the continuity and differentiability of f(x)={1-x ,x 2

Discuss the continuity and differentiability of f(x)={1-x ,\ \ \ \ x 2

Given f(x)=cos^(-1)(sgn((2[x])/(3x-[x])) Discuss the continuity and differentiability of f (x)x=1,-1

Let f(x)=x^(3)-x^(2)-x+1 and g(x)={max{f(t);0<=t<=x},0<=x<=1,3-x,1<=x<=2 Discuss the continuity and differentiability of the function g(x) in the interval (0,2).

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