Respuesta :
Answer:
[tex]{ \rm{ \frac{dy}{dx} = \frac{x}{y} }} \\ \\ { \boxed{ \blue{ \tt{ \frac{ {d}^{2}y }{dx {}^{2} } = \frac{d}{dx} ( \frac{dy}{dx} })}}} \\ \\{ \boxed{ \blue{ \tt{from \: quotient \: rule : }}}} \\ \\ { \rm{ \frac{ {d}^{2}y }{dx {}^{2} } = \frac{y - x \frac{dy}{dx} }{ {y}^{2} } }} \\ \\ { \rm{ \frac{ {d}^{2} y}{dx {}^{2} } = \frac{y - (x \times \frac{x}{y} )}{ {y}^{2} } }} \\ \\ { \boxed{ \boxed{ \rm{ \frac{ {d}^{2} y}{dx {}^{2} } = \frac{y {}^{2} - { {x}^{2} }}{ {y}^{3} } }}}}[/tex]