implicit derivative of (dy)/(dx), (x-y)^2=x+y-1

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

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Steps Examples

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implicit derivative dydx , (x−y)²=x+y−1

Solution

dydx =1−2x+2y−2x+2y−1

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Solution steps

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(x−y)²=x+y−1

Treat y as y(x)

Differentiate both sides: 2(x−y)(1−dydx )=dydx +1

Isolate dydx : dydx =1−2x+2y−2x+2y−1

dydx =1−2x+2y−2x+2y−1

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