Let f(x)=(x-1)^4  * (x-2)^n, n belongs to N

a) max at x=1 if n is odd

b) max at x=1 if n is even

c) min at x=2 if n is even

d) max at x=2 if n is odd

ans=a,c

@Mandy

the question can be easily interpreted by just imagining the graphs of the expressions

(x-1)^4 is goin to be positive thruout  but  (x-2)^n term 'll change signs

with n as odd

x<1    ....................negative     ;x=1  ............0 ;   2>x>1........... negative  ; x=2........... 0   ; x>2 ...........positive

thus it cant have max at 1    ....... i think u might be talking about local max

with x as even(take intervals same as above resp.

positive..............              ;        0         ......;             positive.............    ;         0.............   ;   positive.........

thus ans only 'c'