Question

ache a equação da reta tangente a curva y =2_1/3x

Answer 1

Vamos lá:

$y=2-\frac{1}{3x}\\---------\\\frac{d}{dx}\left(2-\frac{1}{3x}\right)\\\frac{d}{dx}\left(2\right)-\frac{d}{dx}\left(\frac{1}{3x}\right)\\0-\frac{d}{dx}\left(3x^{-1}\right)\\-(-1)*3x^{(-1-1)}\\(3x)^{-2}\\9x^{-2}\:\:ou\:\:\frac {1}{9x^2}$
--------------------------------
Espero ter ajudado!