Question

Differentiate

(1- sinx) / (1 +sinx)

How would I do this?

The answer is (-2cosx)/ (1 + sinx)^2

Thanks in advance :)!!

Answer 1

d/dx (1-sinx)/(1+sinx)

[-cosx (1+sinx) - (1-sinx)(cosx)]/(1+sinx)^2

(-cosx - sinx cosx - cosx + sinx cosx)/(1+sinx)^2
= -2cosx/(1+sinx)^2