A equação da reta tangente à f(x)=x−2x no ponto (1,−1) é:
![A Equação Da Reta Tangente À Fxx2x No Ponto 11 É class=](https://pt-static.z-dn.net/files/d26/ea62c86d9910a6d90d6936683ecaade2.png)
[tex]\large\boxed{\begin{array}{l}\rm f(x)=x-\dfrac{2}{x}\\\\\rm f'(x)=1+\dfrac{2}{x^2}\\\\\rm f'(1)=1+\dfrac{2}{1^2}\\\\\rm f'(1)=1+2=3\\\\\rm y=y_0+f'(x_0)(x-x_0)\\\rm y=-1+3(x-1)\\\rm y=-1+3x-3\\\rm y=3x-4\end{array}}[/tex]