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product rule derivative of 3x^2sqrt(x)

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

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ddx

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

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product rule ddx (3x²√x)

Solution

3(2x√x+x³²2 )

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ddx (3x²√x)

Take the constant out: (a·f)′=a·f ′

=3ddx (x²√x)

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

f=x², g=√x

=3(ddx (x²)√x+ddx (√x)x²)

ddx (x²)=2x

ddx (√x)=12√x

=3(2x√x+12√x x²)

12√x x²=x³²2

=3(2x√x+x³²2 )

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

product rule derivative of 3x^2sqrt(x)

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