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

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đạo hàm ẩn dydx , ycot(x⁴)=xcos(y³)

Solution

dydx =cos(y³)+4x³ycsc²(x⁴)cot(x⁴)+3xy²sin(y³)

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ycot(x⁴)=xcos(y³)

Coi y như y(x)

Tích phân cả hai vế: cot(x⁴)dydx −4x³csc²(x⁴)y=cos(y³)−3xsin(y³)y²dydx

Cô lập dydx : dydx =cos(y³)+4x³ycsc²(x⁴)cot(x⁴)+3xy²sin(y³)

dydx =cos(y³)+4x³ycsc²(x⁴)cot(x⁴)+3xy²sin(y³)

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

√`x`+2	`x`< 1
`xx`²−6`x`+8	`x`≥1

`x`²	`x`<−2
ln(`x`+5)	`x`≥−2

sin(`x`)	`x`<0
2`x`	`x`≥0

√`x`+2	`x`<1
`xx`²−6`x`+8	`x`≥1

√`x`²−4	`x`<0
`x`³−`x`	`x`≥0

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