[tex]y \: = \: 3 \: - \: \frac{ \frac{1}{x} }{x \: + \: 5} [/tex]
[tex]y' \: = \: \frac{d}{dx} (3 \: - \: \frac{1}{x \: \times \: (x \: + \: 5)} )[/tex]
[tex]y' \: = \: \frac{d}{dx} (3 \: - \: \frac{1}{ {x}^{2} \: + \: 5x } )[/tex]
[tex]y' \: = \: \frac{d}{dx} (3) \: - \: \frac{d}{dx} ( \frac{1}{ {x}^{2} } \: + \: 5)[/tex]
[tex]y' \: = \: 0 \: - \: ( - \frac{2x \: + \: 5}{( {x}^{2} \: + \: 5) ^{2} } )[/tex]
[tex] \boxed{ \bold{y' \: = \: \frac{2x \: + \: 5}{( {x}^{2} \: + \: 5x) ^{2} } }}[/tex]
Besitos OvO
