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derivative of xe^{2x}

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

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ddx (xe^2x)

Solution

e^2x+2e^2xx

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ddx (xe^2x)

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

f=x, g=e^2x

=dxdx e^2x+ddx (e^2x)x

dxdx =1

ddx (e^2x)=e^2x· 2

=1· e^2x+e^2x· 2x

Simplify

=e^2x+2e^2xx

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

derivative of xe^{2x}

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