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interval of convergence sum from n=1 to infinity of nx^n

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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 (xx²−6x+8 )

Solution

−x²+8(x²−6x+8)²

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ddx (xx²−6x+8 )

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

=dxdx (x²−6x+8)−ddx (x²−6x+8)x(x²−6x+8)²

dxdx =1

ddx (x²−6x+8)=2x−6

=1· (x²−6x+8)−(2x−6)x(x²−6x+8)²

Simplify 1· (x²−6x+8)−(2x−6)x(x²−6x+8)² : −x²+8(x²−6x+8)²

=−x²+8(x²−6x+8)²

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

interval of convergence sum from n=1 to infinity of nx^n

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