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critical points of 3x^2y+y^3-3x^2-3y^2+2

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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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critical points 3x²y+y³−3x²−3y²+2

Solution

(0, 2), (0, 0), (1, 1), (−1, 1)

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3x²y+y³−3x²−3y²+2

Critical point definition

Critical points are points where the function is defined and its gradient is zero vector or undefined

Find where ∇f(x, y) is equal to zero or undefined

(0, 2), (0, 0), (1, 1), (−1, 1)

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extreme points 3x²y+y³−3x²−3y²+2

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

critical points of 3x^2y+y^3-3x^2-3y^2+2

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