Let `f(x) =(x-1)^p.(x-2)^q where p > 1, q > 1.` Each critical point of `f(x)` is a point of extremum when

Let f(x)=(x-1)^(p)*(x-2)^(q) wherep >1,q>1 Each critical point of f(x) is a point of extremum when

Let f(x)=(x-1)^m(x-2)^n,"x"inR then each critical point of f(x) is either local maximum or local minimum where

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

The number of critical points of f(x)=(|x-1|)/X^2 is

Let f(x) be a polynomial of degree 3 ,such that f(1)=-6,f(-1)=10,f(x) has a critical point at x=-1 and f'(x) has a critical point at x =1,then f(x) has a local maxima at x

Let f(x) = sin x (1+cos x) , x in (0,2pi). Find the number of critical points of f(x) . Also identify which of these critical points are points of Maxima // Minima.