critical points of x^3-x^2-x+1

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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 x³−x²−x+1

Solution

x=−13 , x=1

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x³−x²−x+1

Critical point definition

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

Find where f ′(x) is equal to zero or undefined

x=−13 , x=1

Identify critical points not in f(x) domain

Domain of x³−x²−x+1 : −∞ <x<∞

All critical points are in domain

x=−13 , x=1

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domain x³−x²−x+1

range x³−x²−x+1

intercepts x³−x²−x+1

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

critical points of x^3-x^2-x+1

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