derivative of 3xe^x

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

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ddx (3xe^x)

Solution

3(e^x+e^xx)

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ddx (3xe^x)

Take the constant out: (a·f)′=a·f ′

=3ddx (xe^x)

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

f=x, g=e^x

=3(dxdx e^x+ddx (e^x)x)

dxdx =1

ddx (e^x)=e^x

=3(1· e^x+e^xx)

Simplify

=3(e^x+e^xx)

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

derivative of 3xe^x

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