Show that the function `f(x)={x-1\ \ \ ,\ \ \ if\ x<2 2x-3\ \ \ ,\ \ \ if\ xgeq2` is not differentiable at `x=2` .

Show that the function f(x)={x \ sin \ 1/x\ \ \ ,\ \ \ \ w h e n\ x!=0 \ \ \ \ \ \ \ 0, when \ \ \ x=0 is continuous but not differentiable at x=0 .

Show that the function f(x)={x^msin(1/x),\ \ \ x!=0 , 0\ \ x=0 is differentiable at x=0 , if (m>1)

Show that the function f(x)={x^msin(1/x),\ \ \ x!=0 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=0 is neither continuous nor differentiable, if mlt=0

Show that the function f(x)=|x-1| for all x in R , is not differentiable at x=1 .

Show that the function f (x) = (x)/(1 + |x| ) , x in R, is differentiable at x =0. Hence find f '(0).

Show that the function f(x)=|x-1|+|x+1| AA x in R is not differentiable at the points x=-1 and x=1 .

Show that the function f(x) = |x + 1| + | x - 1| is continuous at x = -1 , x = 1

Show that the function f (x) = |x-1|+ | x- 2| is not differentiable at x = 1,2.

Show that the function f(x) = |x-1| +1| for all x in R , is not differentiable at x = -1 and x =1

Show that the function f (x) = {{:( x , if x lt 1), ( 3-x , if 1 le x le 3), (x ^(2) - 4x +3, if x gt 3):} is not differentiable at 1,3.