Предмет: Алгебра, автор: yrodkondabarov

Найдите промежутки убывания функции, если f(x) = x3 + x2-5x+3

Ответы

Автор ответа: Аноним

0

f'=3x²+2x-5

Найдем критические точки. 3x²+2x-5=0; х=((-1±4)/3; х=-5/3; х=1.

Найдем знаки производной при переходе через критич. точки.

_____-5/3______1__________

+ - +

функция убывает при х∈[-1 2/3; 1]

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