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(\partial^2)/(\partial y\partial x)(((xy^3-x^3y))/(x^2+y^2))

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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∂²∂ y∂ x ((xy³−x³y)x²+y² )

Solution

−x⁶−9x⁴y²+9x²y⁴+y⁶(x²+y²)³

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∂²∂ y∂ x ((xy³−x³y)x²+y² )

∂ ∂ y (xy³−x³yx²+y² )=−x⁵+4x³y²+xy⁴(x²+y²)²

=∂ ∂ x (−x⁵+4x³y²+xy⁴(x²+y²)² )

∂ ∂ x (−x⁵+4x³y²+xy⁴(x²+y²)² )=−x⁶−9x⁴y²+9x²y⁴+y⁶(x²+y²)³

=−x⁶−9x⁴y²+9x²y⁴+y⁶(x²+y²)³

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

(\partial^2)/(\partial y\partial x)(((xy^3-x^3y))/(x^2+y^2))

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