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(tan(x)/1-tan(x)+1)'The calculation above is a derivative of the function f (x)

(tan(x)/1-tan(x))'+(1)'

(tan(x)/1)'+(-tan(x))'+(1)'

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

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

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

1/((cos(x))^2)+1/((cos(x))^2)+(1)'

1/((cos(x))^2)-(cos(x))^-2+0

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

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