A function which is continuous and not differentiable a x=0 is

Give an example of a function which is continuous but not differentiable at a point.

From the following options choose an example for a function which is continuous at x=0 but not differentiable.

If f(x)={x,x 1 find b and c if function is continuous and differentiable at x=1

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

Show that the function f(x)=2x-|x| is continuous but not differentiable at x=0

Show that the function f(x)=|x-2| is continuous but not differentiable at x=2.

Let f(x)={[x]x in I x-1x in I (where [.] denotes the greatest integer function) and g(x)={sinx+cosx ,x<0 1,xgeq0 . Then for f(g(x))a tx=0 (lim)_(xvec0)f(g(x)) exists but not continuous Continuous but not differentiable at x=0 Differentiable at x=0 (lim)_(xvec0)f(g(x)) does not exist f(x) is continuous but not differentiable

The function f(x)=[(sqrt(x))/(1+x)] ; (where [ ] denotes the greatest integer function) is (A) Continuous but non-differentiable for x>0 (B) Continuous and differentiable for x>=0 (C) Discontinuous exactly at two points for x>=0 (D) Non-differentiable exactly at one point for x>0

The function y=|2sin x| is continuous but it is not differentiable at

Show that the function f(x)={x^(m)sin((1)/(x))0,x!=0,x=0 is differentiable at x=0 if m>1 continuous but not differentiable at x=0, if 0.