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limit as (x,y) approaches (0,0) of (xy)/(x^2+y^2)

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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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ratio to fraction 2:8

Solution

Decimal

0.25

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Solution steps

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ddx (e^xsin(3x))

(f·g)′=f ′·g+f·g′ :استعمل قانون الضرب

f=e^x, g=sin(3x)

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

ddx (e^x)=e^x

ddx (sin(3x))=cos(3x)· 3

=e^xsin(3x)+cos(3x)· 3e^x

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

limit as (x,y) approaches (0,0) of (xy)/(x^2+y^2)

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