Y' = 4x - 8
4x - 8 = 0
4x = 8
x = 2
y(2) = 2*2^2 - 8*2 + 5 = 8 - 16 + 5 = -3
y(0) = 2*0^2 - 8*0 + 5 = 5
y(4) = 2*4^2 - 8*4 + 5 = 32 - 32 + 5 = 5
наибольшее 5
наименьшее -3
=======================
y' = 12x^2 - 6x - 36
12x^2 - 6x - 36 = 0
2x^2 - x - 6 = 0
D = 1 - 4*2*(-6) = 49
x1 = (1+7)/4 = 2 не принадлежит [-2;1/3]
x2 = -6/4 = -3/2
y'(-3/2) = 4*(-3/2)^3 - 3*(-3/2)^2 - 36*(-3/2) - 10 = -4*27/8 - 3*9/4 + 54 - 10 = -27/2 - 27/4 + 44 = (-54-27)/4 + 44 = -81/4 + 44 = -20.25 + 44 = 23.75
y'(-2) = 4*(-2)^3 - 3*(-2)^2 - 36*(-2) - 10 = -32 - 12 + 72 - 10 = 18
y'(1/3) = 4*(1/3)^3 - 3*(1/3)^2 - 36*(1/3) - 10 = 4/27 - 1/3 - 12 - 10 = -5/27 - 22 = -22 5/27
наибольшее 23.75
наименьшее -22 5/27