Derivative of ctg(x/2)

Derivative of ctg(x/2). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of ctg(x/2): 


(ctg(x/2))'

-(x/2)'/((sin(x/2))^2)

(-(((x)'*2-(x*(2)'))/(2^2)))/((sin(x/2))^2)

(-((1*2-(x*(2)'))/(2^2)))/((sin(x/2))^2)

(-((1*2-(x*0))/(2^2)))/((sin(x/2))^2)

-1/2/((sin(x/2))^2)

(-1/2)/((sin(x/2))^2)

The calculation above is a derivative of the function f (x)

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