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quotient rule derivative of (3x+9/(2-x))

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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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quotient rule ddx (3x+92−x )

Solution

15(2−x)²

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ddx (3x+92−x )

Apply the Quotient Rule: (fg )^′=f ′·g−g′·fg²

=ddx (3x+9)(2−x)−ddx (2−x)(3x+9)(2−x)²

ddx (3x+9)=3

ddx (2−x)=−1

=3(2−x)−(−1)(3x+9)(2−x)²

Simplify 3(2−x)−(−1)(3x+9)(2−x)² : 15(2−x)²

=15(2−x)²

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

quotient rule derivative of (3x+9/(2-x))

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