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

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)=|x^3| at x=0

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

Discuss the differentiability of f(x)=m a xi mu m{2sinx ,1-cosx}AAx in (0,pi)dot

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

Discuss the differentiability of f(x)=|x|sinx+|x-2|sgn(x-2)+|x-3|dot

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

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

Let f(x)={(1+3x)^(1/x), x != 0e^3,x=0 Discuss the continuity of f(x) at (a) x=0, (b) x=1