Show that `f(x)=|x|` is not differentiable at `x=0` .

Show that f(x)=x^(1/3) is not differentiable at x=0

If f(x)={:{(x^2", "x le 1),( x^2-x+1"," x gt1):} then show that f(x) is not differentiable at x=1 .

Show that f(x)=(x^(1))/(3) is not differentiable at x=0.

Show that f (x) = [x] is not differentiable at x = 1 .

Show that y=|x| is not differentiable at x=0

If f(x)={xe^(-[(1)/(|x|)+(1)/(x)]);x!=0;0;x=0 Prove that f(x) is not differentiable at x=0

(i) Show that f (x) = x ^( 4//3) is differentiable at x = 0 , and hence find f ' (0) . (ii) Show that g(x) = x ^( 3//2) is not differentiable at x = 0

Show that the function f(x)=x^3/2 is not differentiable at x=0.

Show that f(x)=(x-1)^((1)/(3)) is not differentiable at x=1

Show if f(x)=|x| is differentiable for all x.