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domain of (x^3-2x^2-3x)/(x^2-4)

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

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ddx

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

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ddx (xcot(x)−cos(x))

Solution

cot(x)−xcsc²(x)+sin(x)

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ddx (xcot(x)−cos(x))

Áp dụng quy tắc Đạo hàm của một Tổng: (f±g)′=f ′±g′

=ddx (xcot(x))−ddx (cos(x))

ddx (xcot(x))=cot(x)−xcsc²(x)

ddx (cos(x))=−sin(x)

=cot(x)−xcsc²(x)−(−sin(x))

Rút gọn

=cot(x)−xcsc²(x)+sin(x)

Order of operations three/four steps without parentheses Examples

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

domain of (x^3-2x^2-3x)/(x^2-4)

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