(\partial)/(\partial y)(xe^y)

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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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∂ ∂ y (xe^y)

Solution

xe^y

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Solution steps

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(3x+10y)³

Apply Perfect Cube Formula: (a+b)³=a³+3a²b+3ab²+b³

(3x+10y)³=(3x)³+3(3x)²· 10y+3· 3x(10y)²+(10y)³

=(3x)³+3(3x)²· 10y+3· 3x(10y)²+(10y)³

Simplify (3x)³+3(3x)²· 10y+3· 3x(10y)²+(10y)³: 27x³+270x²y+900xy²+1000y³

=27x³+270x²y+900xy²+1000y³

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Notebook

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

(\partial)/(\partial y)(xe^y)

Solution

Solution steps

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