implicit derivative of (dy)/(dx),x^{13}-y^5=4xy

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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implicit derivative dydx , x¹³−y⁵=4xy

Solution

dydx =−4y−13x¹²5y⁴+4x

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x¹³−y⁵=4xy

Treat y as y(x)

Differentiate both sides: 13x¹²−5y⁴dydx =4(y+xdydx )

Isolate dydx : dydx =−4y−13x¹²5y⁴+4x

dydx =−4y−13x¹²5y⁴+4x

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

implicit derivative of (dy)/(dx),x^{13}-y^5=4xy

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