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axis y=(-3x^2-2x+6)/5

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

☐²

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√☐

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log_□

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ddx

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

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тейлор x²³

Solution

1+23 (x−1)−19 (x−1)²+481 (x−1)³−7243 (x−1)⁴+…

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Solution steps

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Ряд Тейлора

Ряд Тейлора функции f(x) в точке a оределен как:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Примените Формулу Тейлора

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

Оцените Производные

=1+01! x+02! x²+03! x³+−1084! x⁴+05! x⁵+06! x⁶+07! x⁷+1360808! x⁸+09! x⁹+010! x¹⁰+…

Уточнить

=1−92 x⁴+278 x⁸+…

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Notebook

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

axis y=(-3x^2-2x+6)/5

Solution

Solution steps

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