Производная функции y = -(1/9)x⁶ + (1/4)x⁴ - 2x равна:
y' = (-(1/9)x⁶)' + ((1/4)x⁴)' - (2x)'
y' = -(1/9) * 6x⁵ + (1/4) * 4x³ - 2
y' = -(2/3)x⁵ + x³ - 2
Ответ: y' = -(2/3)x⁵ + x³ - 2