If `x^4 + x^3 + x^2 + x + 1 = 0, (x!= 0)` then value of `x^5` is equal to

If x^(2) - 3x + 1 = 0 , then the value of x^(3) + (1)/(x^(3)) is equal to

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If y = (x + 1) (x + 2) (x + 3) (x + 4) (x + 5) , then the value of (dy)/(dx) at x = 0 is equal to

If x^2+1/x^2=7, then the value of x^3+1/x^3 Where x>0 is equal to:

If |[1 , x, x^2],[ x , x^2 , 1],[ x^2 , 1 , x]|=3 , then the value of |[x^(3)-1, 0 , x-x^4],[ 0, x-x^(4) , x^(3)-1],[ x-x^(4) , x^(3)-1 , 0]|

If f(x) = {((3sin pix)/(5x), ",",x != 0),(2k, ",",x = 0):} is continuous at x = 0, then the value of k is equal to

If f(x) = {((3sin pix)/(5x), ",",x != 0),(2k, ",",x = 0):} is continuous at x = 0, then the value of k is equal to

If x^2 - 3x + 1 = 0 , then the value of (x^6 + x^4 + x^2 + 1)/(x^3) will be