derivative of x^2(2x+2)

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

☐²

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ddx

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

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ddx (x²(2x+2))

Solution

6x²+4x

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ddx (x²(2x+2))

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

f=x², g=2x+2

=ddx (x²)(2x+2)+ddx (2x+2)x²

ddx (x²)=2x

ddx (2x+2)=2

=2x(2x+2)+2x²

Simplify 2x(2x+2)+2x²: 6x²+4x

=6x²+4x

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

derivative of x^2(2x+2)

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