Предмет: Математика, автор: SvetiKyz

На отрезке [-10,10] найдите наибольшее и наименьшее значение функции: у=х^5-5х^4+5х^3+1

Ответы

Автор ответа: vinnica39

Найдём призводную Уштрих =5Х^4-20X^3+15X2=5X^2(X^2-4X+15)
Найдём критические точки 5X^2(X^2-4X+15)=0
X=0,
Найдём значения функции в критической точке и на концах
У(0)=1 У(-10)=-100000-500000-5000+1=-604999 наименьшее
У(10)=605001 наибольшее значение

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