F(x)=(1+cosx)/cosxпроизводную

Question

F(x)=(1+cosx)/cosxпроизводную

Answer 1

f(x)=(1+cosx)/cosx

f' (x)=(-sinx)·cosx-(1+cosx)·(-sinx))/cos²x=((-sinx·cosx+sinx+cosx·sinx)/cos²x=tgx/cosx