Задача 63611 ...

619d06c90e11ec0cc08e492d

10.03.2022 20:02:07

Дано y = 2/(x-6), dy=0.025, x=4.
Найти Δx.

5f3ea7e3faf909182968ddd9

10.03.2022 20:06:30

★

[m]f`(x)=(\frac{2}{x-6})`[/m]

[m]f`(x)=-\frac{2}{(x-6)^2}[/m]

[m]dy=f`(x)dx[/m]


[m]dy(x_{o})=f`(x_{o}) Δx[/m]

[m]0,025=-\frac{2}{(4-6)^2}Δx[/m] ⇒

[m]Δx=-0,05[/m]