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(ln(tan(x/2)))'The calculation above is a derivative of the function f (x)

(1/tan(x/2))*(tan(x/2))'

(1/tan(x/2))*((x/2)'/((cos(x/2))^2))

(1/tan(x/2))*((((x)'*2-(x*(2)'))/(2^2))/((cos(x/2))^2))

(1/tan(x/2))*(((1*2-(x*(2)'))/(2^2))/((cos(x/2))^2))

(1/tan(x/2))*(((1*2-(x*0))/(2^2))/((cos(x/2))^2))

((1/2)/((cos(x/2))^2))/tan(x/2)

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