Number of points at which `f (x)= |x^2+ x|+|x-1|` is non-differentiable is

The number of points where f(x)=|x^(2)-3|x|-4| is non - differentiable is

The number of points where f(x)=|x^(2)-3|x|-4| is non - 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

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

Let f(x)=sgn(x) and g(x)=x(1-x^(2)) The number of points at which f(g(x)) is not continuous and non-differentiable is

Number of points where f(x)=x^2-|x^2-1|+2||x|-1|+2|x|-7 is non-differentiable is a. 0 b. 1 c. 2 d. 3

If f(x)=x+{-x}+[x] , where [x] and {x} denotes greatest integer function and fractional part function respectively, then find the number of points at which f(x) is both discontinuous and non-differentiable in [-2,2] .

If f(x)=x+{-x}+[x] , where [x] and {x} denotes greatest integer function and fractional part function respectively, then find the number of points at which f(x) is both discontinuous and non-differentiable in [-2,2] .

Number of points where f(x)=|x-sgn(x)| is non differentiable is (sgn( ) denotes signum function )