Найти наименьшее и наибольшее значения функций на отрезке :
функция где?
у=cosx
в учебнике все готовое есть
если я здесь спросила , значит мне здесь нужен ответ
![[-\pi, 0]](https://tex.z-dn.net/?f=%5B-%5Cpi%2C+0%5D "[-\pi, 0]")
![\displaystyle \left[ -\frac{2\pi}{3},0\right] \subseteq [-\pi, 0]](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cleft%5B+-%5Cfrac%7B2%5Cpi%7D%7B3%7D%2C0%5Cright%5D+%5Csubseteq+%5B-%5Cpi%2C+0%5D+ "\displaystyle \left[ -\frac{2\pi}{3},0\right] \subseteq [-\pi, 0]")
![\displaystyle \left[ -\frac{2\pi}{3},0\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cleft%5B+-%5Cfrac%7B2%5Cpi%7D%7B3%7D%2C0%5Cright%5D "\displaystyle \left[ -\frac{2\pi}{3},0\right]")
![\displaystyle \max f\left(\left[ -\frac{2\pi}{3},0\right]\right)=f(0)=\cos 0 =1\\\\\min f\left(\left[ -\frac{2\pi}{3},0\right]\right)=f\left(- \frac{2\pi}{3} \right)=\cos - \frac{2\pi}{3}=-0.5](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cmax+f%5Cleft%28%5Cleft%5B+-%5Cfrac%7B2%5Cpi%7D%7B3%7D%2C0%5Cright%5D%5Cright%29%3Df%280%29%3D%5Ccos+0+%3D1%5C%5C%5C%5C%5Cmin+f%5Cleft%28%5Cleft%5B+-%5Cfrac%7B2%5Cpi%7D%7B3%7D%2C0%5Cright%5D%5Cright%29%3Df%5Cleft%28-+%5Cfrac%7B2%5Cpi%7D%7B3%7D+%5Cright%29%3D%5Ccos+-+%5Cfrac%7B2%5Cpi%7D%7B3%7D%3D-0.5+ "\displaystyle \max f\left(\left[ -\frac{2\pi}{3},0\right]\right)=f(0)=\cos 0 =1\\\\\min f\left(\left[ -\frac{2\pi}{3},0\right]\right)=f\left(- \frac{2\pi}{3} \right)=\cos - \frac{2\pi}{3}=-0.5")