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y=tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(...

y=tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(2))))

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If tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))=k tan^(-1)(x/a) then k=

y=tan^(-1)((3a^2x-x^3)/(a(a^2-3x^2)))

Prove that tan^(-1)""(3a^(2)x-x^(3))/(a^(3)-3ax^(2))=3tan^(-1)""x/a .

Draw the graph of y=tan^(-1)((3x-x^(3))/(1-3x^(2))) .

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

tan^(-1)x+(tan^(-1)(2x))/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|<(1)/(sqrt(3))

Prove that tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2)))absxlt(1)/(sqrt(3)).

If y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2)) then (dy)/(dx)=

y= tan^(-1)((3x-x^(3))/(1-3x^(2))) Find dy/dx