F (x) = 6x^2 - x^3, - 1

F (x) = 6x^2 - x^3

F' (x) = 12x-3x^2

12x-3x^2 = 0

3x * (3-x) = 0

3x = 0 или 3-x = 0

x=0 - x = - 3

x = 3

F (-1) = 6 * (-1) ^2 - (-1) ^3 = 7

F (0) = 0 * 0^2 - 0^3 = 0

F (3) = 3 * 3^2 - 3^3 = 0

F (6) = 6 * 6^2 - 6^3 = 0

Ответ: наибольшее 7, наименьшее 0