Respuesta:
Explicación paso a paso:
[tex]y=\frac{x^{2}+2 }{x^{3} -1}[/tex]
[tex]\frac{dy}{dx} = \frac{2x(x^{3}-1) -(x^{2} +2)(3x^{2} ) }{(x^{3}-1)^{2} }=\frac{2x^{4}-2x-3x^{4} -6x^{2} }{(x^{3}-1)^{2}}=\frac{-x^{4}-6x^{2} -2x }{(x^{3}-1)^{2}}[/tex]
[tex]\frac{dy}{dx} =\frac{-x^{4}-6x^{2} -2x }{(x^{3}-1)^{2}}[/tex]
