Discuss the differentiability of f(x)=`{( x sin(ln x^2),x!=0),( 0,x=0):}` at x=0

Discuss the differentiability of f(x)="sin"|x|

Discuss the differentiability of f(x)={(sinx^2)/x ,x!=0 0,x=0a tx=0

Discuss the differentiability of f(x)=|x^3| at x=0

Discuss the differentiability of f(x)=|(log)_e|x||

Discuss the differentiability of f(x)=(x^2-1)|x^2-x-2|+sin(|x|)dot

Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

Discuss the continuity of f(x)={(x^2)/(|x|),x!=0 0,x=0

Discuss the extremum of f(x)={1+sinx ,x<0x^2-x+1,xgeq0a tx=0

Discuss the differentiability of the functions: f(x) {{:(2x-3",", 0 le x le 2 "at" "x =2" ),(x^2 -3",", x gt 2"):}