Решить уравнение 3/4х+(85-х)*5/9=85

Исследование функции Y = X^3 + 6^2X + 9X.

1) Область определения:

Х€ (- ∞,+ ∞)

2) Пересечение с осью Х

Х= 0,  Х = - 3.

3) Пересечение с осью У

У (0) = 0.

4) Поведение на бесконечности

У (- ∞) = - ∞

У (+ ∞) = + ∞

5) Исследование на четность

Y (+ x) = x^3 + 6x^2 + 9

Y (- х) = - х^3 + 6х - 9

Функция ни четная ни нечетная

6) Монотонность

Производная функции

Y' = 3x^2 + 12x + 9

Точки экстремумов

х1 = - 3     х2 = - 1.

 Ymax (- 3) = 0

Ymin (1) = 4.

Возрастает Х€ (- ∞,- 3]∪[- 1,+ ∞)

Убывает X€ [- 3, - 1]

7) Точки перегиба - нули второй производной

Y" = 6x + 12 = 0

Х= - 2.

Выпуклая - "горка" - Х€(-∞;-2]

Вогнутая - "ложка" - Х€[-2;+∞)

Пошаговое объяснение:

Как то так.

1.  in child i love to explore the coastal terrytory  in  search of beatiful secluded beaches. 2. she sees no reason to go on a trip a burning heart. 3. roger waved until the car was out of sight. 4. previously , vy sister worked at home, but when there was a surge tourism she took a leading travel company. 5. altouth he was not a accustumed to dine in outdoor cafes, now they often have to do it. 6. it was hard to get used to the appearance of this incredible with deaby eyes. 7. we have lost sight of the dog, when   she run to the border area. 8. we had never walked on a pabble beach, on a next to which a huge rise peacked limestno cliffs. 9. local authorities intend to take measures to improve the situation with traffic jams in the city. 10. not all beleive in love at first sight.