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laplace transform 3^x

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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

implicit derivative chain product quotient sum/diff

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Steps Examples

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laplace transform 3^x

Solution

1s−ln(3)

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Solution steps

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L{3^x}

Rewrite 3^x: e^ln(3)x

=L{e^ln(3)x}

Use Laplace Transform table: L{e^at}=1s−a

L{e^ln(3)x}=1s−ln(3)

=1s−ln(3)

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inverse laplace 3^x

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

laplace transform 3^x

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