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 of f(x)={1-x ,\ \ \ \ x 2

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

Discuss the continuity and differentiability of f(x)=|log|x||

Discuss the continuity and differentiability of f(x)=e^(|x|) .

Discuss the continuity and differentiability of f(x)=|log|x|| .

Discuss the continuity and differentiability of f(x)={((x-c)cos(1/(x-c)) ,, x!=c),(0 ,, x=c):}

Discuss the continuity and differentiability of the function f(x)=|x|+|x-1| in the interval (-1,2) .

Discuss the continuity and differentiability of the function f(x)=|x|+|x-1| in the interval (-1, 2).

Discuss the continuity and differentiability of the function f(x)=|x|+|x-1| in the interval (-1, 2).

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).