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

Solutions > Function Reciprocal Calculator >

reciprocal of y=(4x+24)/(x-6)

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

☐²

x^☐

√☐

^□√☐

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log_□

π

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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maclaurin ln(1+x)

Solution

∑_n=1^∞(−1)ⁿ⁺¹xⁿn

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Série de Maclaurin

Série de Taylorde função f(x) em a é definido como:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Série de Maclaurin de função f(x) é uma série de Taylor de função f(x) em: a=0
f(x)=f(0)+f^′(0)1! (x)+f^′′(0)2! (x)²+f^′′′(0)3! (x)³+…

Aplique a fórmula de Maclaurin

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

Avalie derivadas

=0+11! x+−12! x²+23! x³+−64! x⁴+245! x⁵+…

Simplificar

=x−12 x²+13 x³−14 x⁴+15 x⁵+…

A somatória que representa a série

=∑_n=1^∞(−1)ⁿ⁺¹xⁿn

Function Reciprocal Examples

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