中点 (5sqrt(3), 7sqrt(5)), (sqrt(3),-sqrt(5))

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

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ddx

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simplify solve for inverse tangent line

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global extreme points y=xx²−6x+8

Solution

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Solution steps

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(

1	2	1
6	−1	0
−1	−2	−1

)

Matrix characteristic polynomial

A characteristic polynomial of square matrix A is defined as det(A−λI) where I is the identity matrix of same dimension as A

(

1	2	1
6	−1	0
−1	−2	−1

)−λ(

1	0	0
0	1	0
0	0	1

)=(

1−λ	2	1
6	−1−λ	0
−1	−2	−1−λ

)

=det(

1−λ	2	1
6	−1−λ	0
−1	−2	−1−λ

)

det(

1−λ	2	1
6	−1−λ	0
−1	−2	−1−λ

)=−λ³−λ²+12λ

=−λ³−λ²+12λ

Solve instead

domain xx²−6x+8

range xx²−6x+8

inverse xx²−6x+8

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

中点 (5sqrt(3), 7sqrt(5)), (sqrt(3),-sqrt(5))

Solution

Solution steps

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