(D)|[x^(2)-x+1,x-1],[x+1,x+1]|

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

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 ]]

The factor of x^8 + x^4 +1 are (A) (x^4 + 1 - x^2), (x^2 +1 +x), (x^2 + 1 - x ) (B) x^4 + 1 -x^2 , (x^2 - 1 + x), (x^2 +1 + x) (C ) (x^4 - 1 + x^2, (x^2 - 1 + x), (x^2 + 1 + x) (D) (x^4 -1 + x^2), (x^2 + 1 - x), (x^2 + 1 +x)

If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+1)x(x-1))| then f(5000) is equal to 0 b. 1 c. 500 d. -500

If f(x)=|1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then f(500) is equal to 0 b. 1 c. 500 d. -500

The value of abs((x,x-1) , (x+1,x):} is a)1 b)x c) x^2 d)0

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (-1,\ 1)

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (-1,\ 1)

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (-1,\ 1)