The number of points of extremum of the function `f(x)=(x-2)^(2/3)(2x+1)` is

The number of points of non-differentiability of the function f(x)=(x^(2)-1)|x^(2)-x-2|+sin(|x|)+[(x^(2))/(2x^(2)+1)] is (where [.] is greatest integer function)

The set of values of p for which the points of extremum of the function,f(x)=x^(3)-3px^(2)+3(p^(2)-1)x+1lin in the interval (-2,4) is

The number of critical points of the function f(x)=|x-1||x-2| is

The critical points of the function f(x) = (x +2)^(2//3) (2x-1) are

If f(x) = sgn (x) and g (x) = (1-x^2) ,then the number of points of discontinuity of function f (g (x)) is -

The number of points of discontinuities of the function f(x)=|x-1|+|x-2|+cos x in [0,4] is

Number of points where the function f(x)=(x^(2)-1)|x^(2)-x-2|+sin(|x|) is not differentiable,is: (A) 0 (B) 1 (C) 2 (D) 3

The number of the points where the function f(x)=min_({|x|-1,|x-2|)|-1} is NOT derivable,is

Let [t] denote the greatest integer lt t . The number of points where the function f(x) = [x]abs(x^2-1) + sin (pi/([x] + 3)) - [x + 1], x in (-2, 2) is not continuous is _________.