derivative of (1-xe^x)

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

☐²

x^☐

√☐

^□√☐

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log_□

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∫

ddx

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

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laplace transform 5x· 2^x

Solution

5(s−ln(2))²

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Solution steps

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L{5· 2^xx}

Use the constant multiplication property of Laplace Transform:
For function f(t) and constant a: L{a·f(t)}=a·L{f(t)}

=5L{x· 2^x}

L{x· 2^x}: 1(s−ln(2))²

=5· 1(s−ln(2))²

Refine 5· 1(s−ln(2))² : 5(s−ln(2))²

=5(s−ln(2))²

Solve instead

inverse laplace 5x· 2^x

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Notebook

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

derivative of (1-xe^x)

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