Пошаговое объяснение:
f(x) = x^⁴-4x+3
Находим интервалы возрастания и убывания.
сначала найдем критические точки (f'(x₀) = 0)
f'(x) = 4x³-4
4x³-4 = 0 ⇒ х₀ = 1 (одна тока.)
теперь у нас интервалы (-∞ ;1) (1; +∞)
смотрим га знаки производной возле точки х₀ (например в т х=0и х=2)
f'(0) = -4 f'(x) < 0 - функция убывает
f'(2)= 28 > 0 функция возрастает
(-∞ ;1) - убывание
(1; +∞) - возрастание
х=1 критическая точка, а поскольку в окрестности точки x = 1 производная функции меняет знак с (-) на (+), то точка x = 1 - точка минимума.
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Once Yernazar had 8 sons, the Lord of the underworld of Bapa started an insidious plan. One day he ordered his sons to go to the pasture, but they did not return.He decided to swallow the Sun-the egg of the Samruk bird, and thus create a world of eternal darkness on earth. Knowing that once in a thousand years a batyr is born who is able to stop Evil, Bapy, with the help of his assistants, does everything possible so that the batyr is not born and could not prevent him. However, the Toast is born, and grows by leaps and bounds...After all, the time is approaching when the Samruk bird will fly in to lay a new Sun-egg. And only a decisive battle with Aidahar will determine the fate of humanity!
