implicit derivative of (dy)/(dx),x^2-y^{20}+14xy=2

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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 , x²−y²⁰+14xy=2

Solution

dydx =−x+7y7x−10y¹⁹

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x²−y²⁰+14xy=2

Treat y as y(x)

Differentiate both sides: 2x−20y¹⁹dydx +14(y+xdydx )=0

Isolate dydx : dydx =−x+7y7x−10y¹⁹

dydx =−x+7y7x−10y¹⁹

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+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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implicit derivative of (dy)/(dx),x^2-y^{20}+14xy=2

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qb-banner-title

implicit derivative of (dy)/(dx),x^2-y^{20}+14xy=2

Solution

Solution steps

Number Line