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범위 25-x^2

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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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범위 f(x)=sin(3x)

Solution

−1≤ f(x)≤ 1

Interval Notation

[−1, 1]

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Solution steps

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테일러 시리즈

a에서의 함수 f(x)의 테일러 급수는 다음과 같이 정의된다:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

테일러 공식 적용

=0+ddx (sin³(x))(0)1! x+d²dx² (sin³(x))(0)2! x²+d³dx³ (sin³(x))(0)3! x³+…

파생상품 평가

=0+01! x+02! x²+63! x³+04! x⁴+−605! x⁵+06! x⁶+5467! x⁷+08! x⁸+−49209! x⁹+010! x¹⁰+…

다듬다

=x³−12 x⁵+13120 x⁷−413024 x⁹+…

Solve instead

도메인 sin(3x)

주기성 sin(3x)

진폭 sin(3x)

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

범위 25-x^2

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