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derivative of sin(2x+5)

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

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ddx

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

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codominio x²+x+1x

Solution

f(x)≤ −1 or f(x)≥ 3

Interval Notation

(−∞ , −1]∪ [3, ∞ )

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Solution steps

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Definizione dell'intervallo di valori della funzione

L'insieme dei valori della variabile dipendente per i quali è definita una funzione

Riscrivi come

x²+x+1x =y

Moltiplica entrambi i lati per x

x²+x+1=yx

L'intervallo è l'insieme di y per il quale il discriminante è maggiore o uguale a zero

Discriminante x²+x+1=yx: y²−2y−3

y²−2y−3≥ 0 : y≤ −1 or y≥ 3

Controlla se gli estremi dell'intervallo di intervallo sono inclusi

y=−1 : Incluso

y=3 : Incluso

Quindi l'intervallo è

f(x)≤ −1 or f(x)≥ 3

Solve instead

dominio x²+x+1x

inversa x²+x+1x

intercettano x²+x+1x

Order of operations three/four steps without parentheses Examples

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

derivative of sin(2x+5)

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