" If "f(x)=|[x-3,2x^(2)-18,3x^(3)-81],[x-5,2x^(2)-50,4x^(3)-500],[1,2,3]|," then "

If f(x)=[[x-3 , 2 x^2-18 , 3 x^3-81],[ x-5 , 2 x^2-50 , 4 x^3-500],[ 1 , 2 , 3 ]] then f(1) . f(3)+f(3) . f(5)+f(5) . f(1)=

Let f(x)=|(1,3,5),(x-2,3x^(2)-12,5x^(3)-40),(x-3,3x^(2)-27,2x^(3)-54)| then f(2)f(3)+f(2)f(7)+f(3)f(7)= __________

If f(x)=det[[x-2,(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+2)^(3) then coefficient of x in f(x), is ]]

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is

If f(x)=|[3x^2-x+3,6x-1,4],[6x^2-4x+5,12x-4,8],[3x^2+2x+5,6x+2,4]|, then the degree of the polynomial f(x) is

If f(x)=|[3,2,1],[6x^(2),2x^(3),x^(4)],[1,a,a^(2)]| ,then f''(a)= is

lim_(x rarr3)(x^(4)-81)/(2x^(2)-5x-3)

If f(x) = 2x^(4) + 5x^(3) -7x^(2) - 4x + 3 then f(x -1) =

lim_(xrarr3) (x^(4)-81)/(2x^(2)-5x- 3)