`(d)/(dx)[tan sqrt(5x)]`

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

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

(d)/(dx)[tan^(-1)sqrt((1+sinx)/(1-sinx))]=

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

(d)/(dx)tan^(-1)((sqrt(x)-x)/(1+x^((3)/(2))))=

(d)/(dx)[tan^(-1)((6x)/(1+7x^(2)))]+(d)/(dx)[tan^(-1)((5+2x)/(2-5x))]=

(d)/(dx)[sec(tan^(-1)x)]=

(d)/(dx)(tan^(-1)((sqrt(x)-x)/(1+x^((3)/(2))))) equals- (x<=0)

(d)/(dx)(log tan x)

(d)/(dx)[tan{tan^(-1)((x)/(a))-tan^(-1)((x-a)/(x+a))}]=