Y=1-cosx/1+cosx производная

Question

Y=1-cosx/1+cosx производная

Answer 1

У'= (1-cosx)'*(1+cosx) - (1+cosx)' * (1-cosx) / (1+cosx)² = sinx(1+cosx)-(-sinx)(1-cosx) / (1+cosx)² = (sinx+cosxsinx+sinx-cosxsinx) / (1+cosx)² = 2sinx/(1+cosx)²