If `D(x) =|(x-1,(x-1)^2,x^3),(x-1,x^2,(x+1)^3),(x,(x+1)^2,(x+1)^3)|` then the coefficient of x in `Dprime(x)` is-

If D(x)=det[[(x-1),(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+1)^(3) then the coefficient of x in D(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)=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 (a) -4 (b) -2 (c) -6 (d) 0

If D(x)=det[[x-1,(x-1)^(2),x^(3)x-1,x^(2),(x+1)^(3)x,(x+1)^(2),(x+1)^(3)x,(x+1)^(2),(x+1)^(3)]] then

The coefficient of x^(2) in (1)/((1-2x)(1-3x)) is

The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is