скільки точок екстремуму має функція y=2x-√x. Created by Darkkat. algebra-ru

У=2х-√х1)х€[0;+оо)2)у'=(2х-√х)'=2-1/(2√х)3)у'=02-1/(2√х)=0х≠03)у'>02-1/(2√х)>0(4√х-1)/(2√х)>0{2√х>0;х>0{4√х-1>0;√х>1/4;х>1/16____0_____1/16_____х>1/16 функция возрастает4)у'<0(4√х-1)/(2√х)<0{2√х>0;х>0{4√х-1<0;4√х<1;√х<1/4;х<1/16______0____1/16_____х€(1;1/16)функция убывает4)____0__-___1/16_+_____х=1/6 точка минимумаответ один точки экс.Новые вопросы в АлгебраПОМОГИТЕ ПОЖАЛУЙСТА,СРОЧНОО10. Докажите, что функция у=-x² - 10x+8 возрастает на проме- жутке (-∞; -5] и убывает на промежутке [-5; +∞).Помогите пожалуйста с алгеброй 7 класс (все свои баллы-60 баллов)7. Линейная функция задана формулой у(x)=5/6х+3. Найдите х, если у(х)=218. Решите неравенства помогите пжпжпжРешить уравнение: x/(x^2+3+2)−x/(x^2+5+2)=1/24Решите уравнение: 3x^4 + 7x^3 − 4x^2 + 7x + 3 = 0.Решите неравенство:(x-2)^4*(x+2)(5-x)^2/(x^2-4x-5)≥ 0.Определите действительную часть комплексного числа= (2 + i)(1 − 5i) + 2/i1) ax+bx=c ( Рівняння з параметрами)На карте с масштабом 1:5500000 расстояние между Мадридом и Валенсией составляет4,2 см. Сколько сантиметров будет расстояние между этими городами на…картемасштабом 1:3500000?ПредыдущийСледующийВместе мы знаем большеЭтот сайт использует cookies Политика Cookies . 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скільки точок екстремуму має функція y=2x-√x...

Darkkat @Darkkat

August 2022 1 26 Report

скільки точок екстремуму має функція y=2x-√x

Answers & Comments

Armenia2780 У=2х-√х

1)х€[0;+оо)

2)у'=(2х-√х)'=2-1/(2√х)

3)у'=0
2-1/(2√х)=0
х≠0

3)у'>0
2-1/(2√х)>0
(4√х-1)/(2√х)>0
{2√х>0;х>0
{4√х-1>0;√х>1/4;х>1/16
____0_____1/16_____
х>1/16 функция возрастает

4)у'<0
(4√х-1)/(2√х)<0
{2√х>0;х>0
{4√х-1<0;4√х<1;√х<1/4;х<1/16

______0____1/16_____
х€(1;1/16)
функция убывает

4)____0__-___1/16_+_____

х=1/6 точка минимума
ответ один точки экс.