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

Solutions > Sequences First Term Calculator >

first term a_{n}=(3^{n+2})/(5^n)

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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

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∫

ddx

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

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ddx (x²e^x³)

Solution

2e^x³x+3e^x³x⁴

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ddx (x²e^x³)

곱 규칙 적용: (f·g)′=f ′·g+f·g′

f=x², g=e^x³

=ddx (x²)e^x³+ddx (e^x³)x²

ddx (x²)=2x

ddx (e^x³)=e^x³· 3x²

=2xe^x³+e^x³· 3x²x²

e^x³· 3x²x²=3e^x³x⁴

=2e^x³x+3e^x³x⁴

Sequences First Term Examples

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