taylor -3cos(x)

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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 −3cos(x)

Solution

−3+32 x²−18 x⁴+1240 x⁶−113440 x⁸+…

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Taylor Series

Taylor series of function f(x) at a is defined as:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Apply the Taylor Formula

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

Evaluate Derivatives

=−3+01! x+32! x²+03! x³+−34! x⁴+05! x⁵+36! x⁶+07! x⁷+−38! x⁸+…

Refine

=−3+32 x²−18 x⁴+1240 x⁶−113440 x⁸+…

Description

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