単調区間 y= x/(x^2-6x+8)

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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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monotone intervals y=xx²−6x+8

Solution

Decreasing:−∞ <x<−2√2, Increasing:−2√2<x<2, Increasing:2<x<2√2, Decreasing:2√2<x<4, Decreasing:4<x<∞

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Monotone intervals definition

If f ′(x)>0 then f(x) is increasing.
If f ′(x)<0 then f(x) is decreasing.

f ′(x)=−x²+8(x²−6x+8)²

Find intervals: Decreasing:−∞ <x<−2√2, Increasing:−2√2<x<2, Increasing:2<x<2√2, Decreasing:2√2<x<4, Decreasing:4<x<∞

Decreasing:−∞ <x<−2√2, Increasing:−2√2<x<2, Increasing:2<x<2√2, Decreasing:2√2<x<4, Decreasing:4<x<∞

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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`

単調区間 y= x/(x^2-6x+8)

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