Лаплас e^{t/2}

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

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∫

ddx

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

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monotone intervals √x²+1

Solution

Decreasing:−∞ <x<0, Increasing:0<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)=x√x²+1

Find intervals: Decreasing:−∞ <x<0, Increasing:0<x<∞

Decreasing:−∞ <x<0, Increasing:0<x<∞

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domain √x²+1

range √x²+1

inverse √x²+1

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

Лаплас e^{t/2}

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