If `f (x) ={min(x,x^2),x leq 0 and min(2x, x^2 -1) , x lt 0`, then find the number of non-differentiable points of `f (x)`.

If f(x) = {sinx , x lt 0 and cosx-|x-1| , x leq 0 then g(x) = f(|x|) is non-differentiable for

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.

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

Let f (x) = {{:(min (x"," x ^(2)), x ge 0),( max (2x "," x-1), x lt 0):}, then which of the following is not true ?

Let f (x) = {{:(min (x"," x ^(2)), x ge 0),( max (2x "," x-1), x lt 0):}, then which of the following is not true ?

In f (x)= [{:(cos x ^(3),, 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.

F(x)=min{x,x^(2)},AA in R then f(x) is

Let f(x)={(-1, -2 leq x lt 0),(x^2-1, 0 lt x leq 2)) and g(x)= |f(x)|+f|x| then the number of points which g(x) is non differentiable, is (A) at most one point (B) 2 (C) exactly one point (D) infinite