derivative of (x+18/(x-8))

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

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

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ddx (x+18x−8 )

Solution

−26(x−8)²

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ddx (x+18x−8 )

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

=ddx (x+18)(x−8)−ddx (x−8)(x+18)(x−8)²

ddx (x+18)=1

ddx (x−8)=1

=1· (x−8)−1· (x+18)(x−8)²

Simplify 1· (x−8)−1· (x+18)(x−8)² : −26(x−8)²

=−26(x−8)²

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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derivative of (x+18/(x-8))

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derivative of (x+18/(x-8))

Solution

Solution steps

Number Line

Graph