Предмет: Алгебра, автор: vasil5652

Составте уравнение касательной к графику функции
y = - x^3 - 2x^2 - 3x + 5 в точке с абциссой x = - 2

КТО ПРАВИЛЬНО РЕШИТ,ТОТ БУДЕТ СЧАСТИВ ВСЮ СВОЮ ЖИЗНЬ:)

Ответы

Автор ответа: Korgath

3

$y'=-3x^{2} -4x-3\\x0= - 2\\y0=8-8+6+5=11\\y'(x0)=-7\\yk = y0 + y'(x0)(x - x0)\\yk = 11 + -7(x +2)\\yk = -3-7x$

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