If `f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c)^3,1]|` then `f'(x)=lambda|[(x-a)^4,(x-a)^3,1] , [(x-b)^4, (x-b)^3, 1] , [(x-c)^4, (x-c)^3,1]|`. Find the value of `lambda`

If f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c)^3,1]| then f'(x)=lambda|[(x-a)^4,(x-a)^2,1] , [(x-b)^4, (x-b)^2, 1] , [(x-c)^4, (x-c)^2,1]| . Find the value of lambda

If f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c)^3,1]| then f'(x)=lambda|[(x-a)^4,(x-a)^2,1] , [(x-b)^4, (x-b)^2, 1] , [(x-c)^4, (x-c)^2,1]| . Find the value of lambda

If f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c)^3,1]| then f'(x)=lambda|[(x-a)^4,(x-a)^2,1] , [(x-b)^4, (x-b)^2, 1] , [(x-c)^4, (x-c)^2,1]| . Find the value of lambda

If f(x)=|((x-a)^(4),(x-a)^(3),1),((x-b)^(4),(x-b)^(3),1),((x-c)^(4),(x-c)^(3),1)|" then "f'(x)=lambda.|((x-a)^(4),(x-a)^(2),1),((x-b)^(4),(x-b)^(2),1),((x-c)^(4),(x-c)^(2),1)| . The value of lambda is

If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c = 1 then

If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c = 1 then

If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c = 1 then

If (3x^(2)+x+1)/(x-1)^(4)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3)+D/(x-1)^(4) " then " A+B-C+D=