Which of the function is non-differential at `x=0?` `f(x)="cos"|x|`

Which of the function is non-differential at x=0? f(x)=|"x"|

Which of the following function is not differentiable at x=0? f(x)=min{x ,sinx} f(x)={0,xgeq0x^2,x<0 f(x)= x^2 sgn(x)

Which of the following function is non-differentiable in domain? f(x)=(x-2)/(x^2+3) (b) f(x)=log|x| f(x)=x^3logx (d) f(x)=(x-3)^(3/5)

STATEMENT 1: int_0^x|sint|dt ,forx in [0,2pi], is a non-differentiable function. STATEMENT 2: |sint| is non-differentiable at x=pidot

Let f(x)=(lim)_(x rarr oo)sum_(r=0)^(n-1)x/((r x+1){(r+1)x+1}) . Then (A) f(x) is continuous but not differentiable at x=0 (B) f(x) is both continuous but not differentiable at x=0 (C) f(x) is neither continuous not differentiable at x=0 (D) f(x) is a periodic function.

The graph of f(x) is given. State with reasons the number at which the function is non-differentiable.