tan'(3x-x^(3))/(1-3x^(2))

tan^(-1)((3x-x^(3))/(1-3x^(2)))

Tan^(-1)((3x-x^(3))/(1-3x^(2)))=

Evaluate the following integral: int_(0)^(1/sqrt(3))tan^(-1)((3x-x^(3))/(1-3x^(2)))dx

Define: tan^(-1)((3x-x^(3))/(1-3x^(2))) in terms of tan^(-1)x

Define: tan^(-1)((3x-x^(3))/(1-3x^(2))) in terms of tan^(-1)x

If x gt (1)/sqrt(3) then tan^(-1) (3x-x^(3))/(1-3x^(2)) equals

If x lt -(1)/sqrt(3) , then tan^(-1)(3x-x^(3))/(1-3x^(2)) equals

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if x>(1)/(sqrt(3))

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if x<-(1)/(sqrt(3))

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}