`x^(4)+4x^(2)+3`

Evaluate, lim_(xtosqrt(2)) (x^(4)-4)/(x^(2)+3sqrt(2)x-8) .

Evaluate the following limits : Lim_(x to sqrt(2))(x^(4)-4)/(x^(2)+3xsqrt(2)-8)

If y=6 x^(5)-4x^(4)+2x^(2)+3x+2 , then find (dy)/(dx) at x=-1.

If y=6 x^(5)-4x^(4)+2x^(2)+3x+2 , then find (dy)/(dx) at x=-1.

Divide 3x^(4) - 5x^(3)+4x^(2)+3x-5 by x^(2) - 3 and verify the division algorithm.

A common factor of x ^(4) - 256, x ^(3) - 4x ^(2) + 3x - 12 and x ^(2) - 7x + 12 is

A common factor of x^(4) -256, x^(3)-4x^(2)+3x-12 and x^(2) -7x+12 is

int(3x^(13)-+2x^(11))/((4x^(4)+3x^(2)+1)^(4))dx is equal to (A)(x^(12))/((4x^(4)+3x^(2)+1)^(4))+C(B)(2)/(3(4x^(4)+3x^(2)+1)^(3))+C(C)(x^(12))/(3(4x^(-4)+3x^(2)+1)^(4))(D)(x^(6))/(6(4x^(-4)+3x^(-2)+1)^(3))+C

If f(x)=(1)/(x^(2)+4x+4)-(4)/(x^(4)+4x^(3)+4x^(2))+(4)/(x^(3)+2x^(2)) the f (1/2) is equal to