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Консультация № 185052
03.01.2012, 21:23
65.00 руб.
0
9
1
Здравствуйте! Прошу помощи в следующем вопросе:
исследовать функцию Y=x-1/x^2+1 и построить схематично график (подробно)
исследовать функцию Y=x-1/x^2+1 и построить схематично график (подробно)
Обсуждение
Неизвестный
03.01.2012, 21:30
общий
03.01.2012, 21:33
Уточните, пожалуйста, вид функции, она так выглядит?
03.01.2012, 21:50
общий
Может так? 
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
03.01.2012, 22:01
общий
это ответ
Здравствуйте, Мишарин СЮ!
Область определения все действительные числа. Точек разрыва нет.
Функция ни четная, ни нечетная (у(-х)=(-х-1)/((-x)^2+1)=-(х+1)/(x^2+1)) не равно ни у(х), ни у(-х))
Функция непериодическая.
y'=(x^2+1-2x(x-1))/(x^2+1)^2=(-x^2+2x+1)/(x^2+1)^2
Производная равна 0 при
- функция убывает
- функция возрастает
- функция убывает
- точка минимума
- точка минимума
y''=2(x^3-3x^2-3x+1)/(x^2+1)^3
Вторая производная равна 0 при
.
- функция выпукла
- функция вогнута
- функция выпукла
- функция вогнута
- точки перегиба
y=kx+b=0 - наклонная асимптота на бесконечностях
Область определения все действительные числа. Точек разрыва нет.
Функция ни четная, ни нечетная (у(-х)=(-х-1)/((-x)^2+1)=-(х+1)/(x^2+1)) не равно ни у(х), ни у(-х))
Функция непериодическая.
y'=(x^2+1-2x(x-1))/(x^2+1)^2=(-x^2+2x+1)/(x^2+1)^2
Производная равна 0 при
- функция убывает - функция возрастает - функция убывает - точка минимума - точка минимумаy''=2(x^3-3x^2-3x+1)/(x^2+1)^3
Вторая производная равна 0 при
.- функция выпукла - функция вогнута- функция выпукла- функция вогнута - точки перегибаy=kx+b=0 - наклонная асимптота на бесконечностях
Неизвестный
07.01.2012, 18:11
общий
07.01.2012, 22:47
y= в знаменателе: x-1
числ: x во 2 ой степени+1.
числ: x во 2 ой степени+1.
08.01.2012, 02:48
общий
Так, что ли?
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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