Discuss the continuity and differentiability of `f(x)={1-x,x<1(1-x)(2-x),1lt=xlt=2 3-x,x >2`

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

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

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

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

Discuss the continuity and differentiability of f(x)=|log||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!=c0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=c

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

Discuss the continuity and differentiability of f(x)=|x+1|+|x|+|x-1|AA x in R; also draw the graph of f(x)