" 43."tan^(-1)((3-2x)/(1+6x))

tan^(-1)((6x)/(1+16x^(2)))

tan^(-1)((3-2x)/(1+6x)) , Differentiate w.r.t x

Differentiate the following functions w.r.t.x : tan^-1((3-2x)/(1+6x))

tan^-1((5x)/(1-6x^2))

tan^-1((5x)/(1-6x^2))

show that tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2)),|x|<1/sqrt3

show that tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2)),|x|<1/sqrt3

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)).

If y = tan^(-1) (x/(1 + 6x^2)) + tan^(-1) ((2x - 1)/(2x + 1)), (AA x > 0) then (dy)/(dx) is equal to

If y = tan^(-1) (x/(1 + 6x^2)) + tan^(-1) ((2x - 1)/(2x + 1)), (AA x > 0) then (dy)/(dx) is equal to