逆ラプラス (x^4-8x^2-10)/(x^2-3x-10)

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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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暗黙的な導関数 e^xy=e^4x−e^5y

Solution

dydx =4e^4x−e^xyye^xyx+5e^5y

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e^xy=e^4x−e^5y

yをy(x)として扱う

両側を計算: e^xy(y+xdydx )=e^4x· 4−e^5y· 5dydx

分離する dydx : dydx =4e^4x−e^xyye^xyx+5e^5y

dydx =4e^4x−e^xyye^xyx+5e^5y

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

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逆ラプラス (x^4-8x^2-10)/(x^2-3x-10)

Solution

Solution steps

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