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derivative of x3^x

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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 (x3^x)

Solution

3^x+ln(3)· 3^xx

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ddx (x· 3^x)

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

f=x, g=3^x

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

dxdx =1

ddx (3^x)=3^xln(3)

=1· 3^x+3^xln(3)x

Simplify

=3^x+ln(3)· 3^xx

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

derivative of x3^x

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