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next term a_{1}=-2,d=3

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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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Steps Examples

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taylor 15xcos(x)

Solution

15x−152 x³+58 x⁵−148 x⁷+12688 x⁹+…

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Solution steps

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La série de taylor

La série de Taylor de la fonction f(x) en a est définie comme :
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Appliquer la formule de Taylor

=0+ddx (15xcos(x))(0)1! x+d²dx² (15xcos(x))(0)2! x²+d³dx³ (15xcos(x))(0)3! x³+…

Evaluer des dérivées

=0+151! x+02! x²+−453! x³+04! x⁴+755! x⁵+06! x⁶+−1057! x⁷+08! x⁸+1359! x⁹+…

Redéfinir

=15x−152 x³+58 x⁵−148 x⁷+12688 x⁹+…

Log Quotient Rule Examples

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Notebook

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

next term a_{1}=-2,d=3

Solution

Solution steps

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