Log in to add a comment

## Answers

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Cos x is negative in (π/2 , π) . So near 2π/3 on both sides, at 2π/3 +- delta

Sin x is positive. in this domain.

so in this domain y = - cos x + sin x

differentiating dy/dx = sin x + cos x

At 2π/3 , dy/dx is sin 2π/3 + cos 2π/3 = √3/2 - 1/2 = (√3 -1 )/2

Sin x is positive. in this domain.

so in this domain y = - cos x + sin x

differentiating dy/dx = sin x + cos x

At 2π/3 , dy/dx is sin 2π/3 + cos 2π/3 = √3/2 - 1/2 = (√3 -1 )/2