`" If " f(x) = |{:(3,,3x,,3x^(2)+2a^(2)),(3x,,3x^(2)+2a^(2),,3x^(3)+6a^(2)x),(3x^(2)+2a^(2),,3x^(3)++6a^(2)x,,3x^(4)+12a^(2)x^(2)+2a^(4)):}|` then

Delta(x)=det[[3,3x,3x^(2)+2a^(2)3x,3x^(2)+2a^(2),3x^(3)+6a^(2)x3x^(2)+2a^(2),3x^(3)+6a^(2)x,3x^(4)+12a^(2)x^(2)+2a^(4)]]

If f(x)= |{:(3,3x,3x^2+2a^2),(3x,3x^2+2a^2,3x^3+6a^2x),(3x^2+2a^2,3x^3+6a^2x,3x^4+12a^2x^2+2a^4):}| then

Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2a^2, 3x^3+6a^2x, 3x^4+12a^2x^2+2a^4]| then

Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2a^2, 3x^3+6a^2x, 3x^4+12a^2x^2+2a^4]| then

((2x^(4)-3x^(3)-3x^(2)+6x-2)/(x^(2)-2))

Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2a^2, 3x^3+6a^2x, 3x^4+12a^2x^2+2a^4]| then (a) Delta'(x) = 0 (b) Delta(x) is independent of x (c) int^1Delta(x)dx = 4a^6 (d) y=Delta(x) is a straight line

If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)| , then f^(1)(x)=