Question

Resolver ecuación y=5/2x+5

Answer 1

Respuesta:

$y=\frac{5}{2x+5}$

$=5\frac{d}{dx}\left(\frac{1}{2x+5}\right)$

$=5\frac{d}{dx}\left(\left(2x+5\right)^{-1}\right)$

$=5\frac{d}{du}\left(u^{-1}\right)\frac{d}{dx}\left(2x+5\right)$

$\frac{d}{du}\left(u^{-1}\right)=-\frac{1}{u^2}$

$\frac{d}{dx}\left(2x+5\right)=2$

$=5\left(-\frac{1}{u^2}\right)\cdot \:2$

$=5\left(-\frac{1}{\left(2x+5\right)^2}\right)\cdot \:2$

$=-\frac{10}{\left(2x+5\right)^2}$

espero que te ayude