f'(x)=-10sinx-5
f'(x)=0
sinx=-1/2
x=-П/6+2Пk
x=5/6П+2Пk
f''(x)=-10cosx при х=5/6П+2Пk сosx<0 f''(x)>0 минимум
x=x=-П/6+2Пk f''(x)<0 максимум
f(-П/6+2Пk)=10*sqrt(3)/2+5П/6+10Пk=5(sqrt(3)+П/6+2Пk)
f(5/6П+2Пk)=-10sqrt(3)/2-25/6П-10Пk
f'(x)=-10sinx-5; f'(x)=0
sinx=-0.5
x=-π/6+2πk
x=5/6π+2πk
f'(x)=-10cosx при х=5/6π+2πk
x=x=-π/6+2πk
f'(x)<0 максимум
f(-π /6+2 π k)=10*sqrt(3)/2+5 π /6+10 π k=5(sqrt(3)+ π /6+2 π k)
f(5/6 π +2 π k)=-10sqrt(3)/2-25/6 π -10 π k
