The set of points, where f(x)= `x/(1+∣x∣)` is differentiable, is

The set of points where f(x)=x/(1+|x|) is differentiable is

The set of points where , f(x) = x|x| is twice differentiable is

Number of points where f(x)=| x sgn(1-x^2)| is non-differentiable is a. 0 b. 1 c. 2 d. 3

The set of points where the function f(x)=x|x| is differentiable is (-oo,oo) (b) (-oo,0)uu(0,oo) (0,oo) (d) [0,oo)

The set of points where the function f(x)=x|x| is differentiable is (a) (-oo,\ oo) (b) (-oo,\ 0)uu(0,\ oo) (c) (0,\ oo) (d) [0,\ oo]

If f(x)=max{tanx, sin x, cos x} where x in [-(pi)/(2),(3pi)/(2)) then the number of points, where f(x) is non -differentiable, is

Let f(x)="min"{sqrt(4-x^(2)),sqrt(1+x^(2))}AA,x in [-2, 2] then the number of points where f(x) is non - differentiable is

The set of points where x^(2)|x| is thrice differentiable, is

In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0):} then find the number of points where g (x) =f (|x|) is non-differentiable.

Consider the function f(x)=min{|x^(2)-9|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are