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nth term a_{n}=(3^{n+2})/(5^n)

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

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phạm vi x²+x+1x

Solution

f(x)≤ −1 or f(x)≥ 3

Interval Notation

(−∞ , −1]∪ [3, ∞ )

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Solution steps

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y=sin(3x+4y)

Coi y như y(x)

Phép lấy vi phân tìm đạo hàmdydx của y=sin(3x+4y): 3cos(3x+4y)1−4cos(3x+4y)

dydx =3cos(3x+4y)1−4cos(3x+4y)

Phép lấy vi phân tìm đạo hàmd²ydx² của dydx =3cos(3x+4y)1−4cos(3x+4y) : 3(−3sin(3x+4y)−4sin(3x+4y)dydx )(1−4cos(3x+4y))²

d²ydx² =3(−3sin(3x+4y)−4sin(3x+4y)dydx )(1−4cos(3x+4y))²

Thay dydx =3cos(3x+4y)1−4cos(3x+4y) : −9sin(3x+4y)(1−4cos(3x+4y))³

d²ydx² =−9sin(3x+4y)(1−4cos(3x+4y))³

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miền x²+x+1x

nghịch đảo x²+x+1x

các hệ số chặn x²+x+1x

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

nth term a_{n}=(3^{n+2})/(5^n)

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