Предмет: Математика, автор: Милас

Найти уравнение касательной к кривой: y=-2x+x^2 в точке с абсциссой x=-1. Cделать чертеж.

Ответы

Автор ответа: fgtkmcbyjdsqcjr

уравнение касательной выглядит так:

y(x)+y'(x)*(x-нулевое)

y(-1)=2+1=3

y'(x)=-2+2x

y'(-1)=-4

Подставим данные в первое выражение

3-4*(x+1)=-4x-1

график функции y=-4x-1

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