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d/(dx)[tan^(- 1)((sqrt(x^2+a^2)+x)/(sqrt...

`d/(dx)[tan^(- 1)((sqrt(x^2+a^2)+x)/(sqrt(x^2+a^2)-x))^(1/2)]` is equal to

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(d)/(dx)[tan^(-1)((x-sqrt(a^(2)-x^(2)))/(x+sqrt(a^(2)-x^(2))))]=

d/(dx)(Tan^(-1)""(x)/(sqrt(a^2-x^2))=

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d/dx(tan^-1(x/sqrt(a^2-x^2))=

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d/(dx) ("Tan"^(-1) (x)/(sqrt(a^2 - x^2))) =

(d)/(dx)tan^(-1)((x)/(1-sqrt(1+x^(2))))]=