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axis y=x^2-2x-3

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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 ((1−x)e^x)

Solution

−e^xx

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ddx ((1−x)e^x)

Apply the Product Rule: (f·g)′=f ′·g+f·g′

f=1−x, g=e^x

=ddx (1−x)e^x+ddx (e^x)(1−x)

ddx (1−x)=−1

ddx (e^x)=e^x

=(−1)e^x+e^x(1−x)

Simplify (−1)e^x+e^x(1−x): −e^xx

=−e^xx

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

axis y=x^2-2x-3

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