Задача 70355 Знайти у': { x = 2 + 1/t { y = t-1/t...

640086d1f5585c3e7f53ab8a

24.03.2023 13:06:14

Знайти у':

{ x = 2 + 1/t
{ y = t-1/t

5f3ea7e3faf909182968ddd9

24.03.2023 13:22:59

★

[m]\left\{\begin{matrix}x`_{t}=(2+\frac{1}{t})`\\ y`_{t}=(t-\frac{1}{t})`\end{matrix}\right.[/m]

[m]\left\{\begin{matrix}x`_{t}=0-\frac{1}{t^2} \\ y`_{t}=1+\frac{1}{t^2} \end{matrix}\right.[/m]

[m]y`_{x}=\frac{y`_{t}}{x`_{t}}=\frac{(-\frac{1}{t^2})}{1+\frac{1}{t^2}}=-\frac{1}{t^2+1}[/m]