concavity f(x)=x^3

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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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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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concavity f(x)=x³

Solution

Concave Downward:−∞ <x<0, Concave Upward:0<x<∞

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Concavity intervals definition

If f ′′(x)>0 then f(x) concave upwards.
If f ′′(x)<0 then f(x) concave downwards.

f ′′(x)=6x

Find intervals: Concave Downward:−∞ <x<0, Concave Upward:0<x<∞

Concave Downward:−∞ <x<0, Concave Upward:0<x<∞

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domain x³

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inverse x³

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

concavity f(x)=x^3

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