Given `f(x) =Sgn(x^3-6 x^2+12x - 14)` then the value of `f(2)-f(0)` is equal to ____

If f(x)= min(x^(2),x,sgn(x^(2)+4x-12)) then the value of f(2) is equal to

If f(x) = sgn (x^(2) -2x+ 3) then the value of f(x) is

If f(x) = min (x^(2) ,x, sgn ( x^(2) +4x + 5) ) then the value of f(2) is equal to

If f(x)=|x-1|+|x-3| ,then value of f'(2) is equal to

Let f(x)=x^3-6x^2+12x-3 . Then at x=2 f(x) has

Let f(x)=x^3-6x^2+12x-3 . Then at x=2 f(x) has

Let f:[-3,1] toR be given as f(x)={("min" {(x+6)","x^(2)}",", -3 le x le 0),("max"{sqrt(x)","x^(2)}",",0le x le 1):} . If the area bounded by y=f(x) and x-axis is A, then the value of 6A is equal to ________.