Prove that the function f(x)=|x+1|+|x-1| is not differetiable at `x=-1` and at x=1.

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

Prove that the function f given by f(x)= |x-1|, x in R is not differentiable at x= 1.

The function f(x)= x^((1)/(x)) is-

Prove that the function f(x)=x+1/x (x ne 0) is decreasing for all x in (-1, 0) uu (0, 1) .

Prove that the function f(x) = x+1/x(x!=0) is decreasing for all x in (-1,0)uu(0,1) .

Draw the graph of the function, f(x)=(1)/(x) .

Draw the graph of the function: f(x)=-|x-1|^(1/2)

Prove that the function f(x)=(log)_e(x^2+1)-e^(-x)+1 is strictly increasing AAx in Rdot

Prove that the function f given by f(x) = x ^(2) – x + 1 is neither strictly increasing nor decreasing on (– 1, 1).