Предмет: Алгебра, автор: riannaadrri

ПОМОГИТЕ 80Б!
Рівняння дотичної до графіка функції в точці х=2
у = х 2 +5x
................................................................
Уравнение касательной к графику функции в точке х = 2
у = х 2 + 5x

Ответы

Автор ответа: NNNLLL54

Ответ:

$y=x^2+5x\ \ ,\ \ x_0=2\qquad \boxed{y=y(x_0)+y'(x_0)(x-x_0)}\\\\y(2)=4+10=14\\\\y'(x)=2x+5\ \ ,\ \ \ y'(2)=4+5=9\\\\y=14+9(x-2)\\\\\boxed{\ y=9x-4\ }$

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