Derivative of 1-sin(x)/cos(x)

Derivative of 1-sin(x)/cos(x). 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 1-sin(x)/cos(x): 


(1-(sin(x)/cos(x)))'

(-(sin(x)/cos(x)))'+(1)'

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

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

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

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

-(((cos(x))^2+(sin(x))^2)/((cos(x))^2))

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

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