đỉnh t^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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Steps Examples

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taylor ln(x²+1)

Solution

x²−12 x⁴+13 x⁶−14 x⁸+15 x¹⁰+…

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Solution steps

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Chuỗi Taylor

Chuỗi Taylor của hàm f(x) tại a được định nghĩa là:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Áp dụng Công thức Taylor

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

Đánh giá đạo hàm

=0+01! x+22! x²+03! x³+−124! x⁴+05! x⁵+2406! x⁶+07! x⁷+−100808! x⁸+09! x⁹+72576010! x¹⁰+…

Tinh chỉnh

=x²−12 x⁴+13 x⁶−14 x⁸+15 x¹⁰+…

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Notebook

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

đỉnh t^2

Solution

Solution steps

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