Предмет: Геометрия, автор: fadrewety

Найти промежутки убывания f(x)=2x^3-3x^2+5

Ответы

Автор ответа: olya250686

x) = x^3-6x^2+5
f'(x) = 3x^2-12x
3x^2-12x=0
x^2-4x=0
x(x-4)=0
x=0; x=4
+ - +
----(0)-----(4)-----> x

Производная отрицательна на [0;4], значит, функция убывает на [0

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