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đạo hàm ẩn (dy)/(dx),y2=7x^2+12x

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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 , y²=7x²+12x

Solution

dydx =7x+6y

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Solution steps

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y²=7x²+12x

Treat y as y(x)

Differentiate both sides: 2ydydx =14x+12

Isolate dydx : dydx =7x+6y

dydx =7x+6y

Solve instead

implicit derivative dydx , y2=7x²+12x

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Giải quyết thay thế implicit derivative dydx ,y2=7x²+12x

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

đạo hàm ẩn (dy)/(dx),y2=7x^2+12x

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