-4x^(3)-3x-1" को "x-1" से भाग दीर् "

Divide the polynomial 3x^(4)-4x^(3)-3x-1 by quad x-1

Divide the polynomial 3x^(4)-4x^(3)-3x-1 by x-1

If f(x)=cos^(-1)(4x^(3)-3x), x in [-1,1] , then

If f(x)=cos^(-1)(4x^(3)-3x), x in [-1,1] , then

Prove that 3cos^(-1)x=cos^(-1)(4x^(3)-3x)" "x in [1/2,1]

Prove that: i) sin^(-1)(3x-4x^(3))=3sin^(-1)x, |x| le 1/2 ii) cos^(-1)(4x^(2)-3x)=3cos^(-1)x,1/2 le x le 1 iii) tan^(-1)""(3x-x^(3))/(1-3x^(2))=3tan^(-1)x, |x| lt 1/sqrt(3) iv) tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)""(3x-x^(3))/(1-3x^(2))

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).