y = 2x + 8/x
y(-5) = -10 - 1,6 = -11,6
y(-1) = -2 - 8 = -10
y' = 2 - 8/x^2
y' = 0
8/x^2 = 2
4/x^2 = 1
x^2 = 4
x = 2 ; x = -2 ; x = 2 - не входит в [-5;-1]
y(-2) = -4 -4 = -8
max y = y(-2) = -8
[-5;-1]
min y = y(-5) = -11,6
ответ : -11,6 ; -8
y = 2x + 8/x
y(-5) = -10 - 1,6 = -11,6
y(-1) = -2 - 8 = -10
y' = 2 - 8/x^2
y' = 0
8/x^2 = 2
4/x^2 = 1
x^2 = 4
x = 2 ; x = -2 ; x = 2 - не входит в [-5;-1]
y(-2) = -4 -4 = -8
max y = y(-2) = -8
[-5;-1]
min y = y(-5) = -11,6
[-5;-1]
ответ : -11,6 ; -8