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BlueHorn07 committed Jun 6, 2024
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24 changes: 23 additions & 1 deletion _pages/categories/calculus.md
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# 미적뢄학 1

- [Limit and Continuity: Problem Solving](https://bluehorn07.github.io/2024/05/01/limit-and-continuity-problem-solving/)
- μž…λΈ 논법이 수립된 κ³Όμ •
- A Fixed point Theorem
- Assigning a value to zero power of zero $0^0$
- [Derivatives: Problem Solving](https://bluehorn07.github.io/2024/05/05/derivatives-problem-solving/)
- λͺ¨λ“  μ μ—μ„œ λ―ΈλΆ„ λΆˆκ°€λŠ₯ν•œ 연속 ν•¨μˆ˜
- The cissoid of Diocles
- Newton’s Serpentine
- [Application of Derivatives: Problem Solving](https://bluehorn07.github.io/2024/05/20/application-of-derivatives-problem-solving/)
- Geometric Mean
- Cauchy's Mean Value Theorem
- Proof of l’hΓ΄pital’s rule
- [Techniques of Integrals: Problem Solving](https://bluehorn07.github.io/2024/05/30/techniques-of-integrals-problem-solving/)
- Equivalence of the washer and shell methods
- [Taylor Series & Macluarin Series](https://bluehorn07.github.io/2022/10/29/talyor-series-and-maclaurin-series/)


# 미적뢄학 2

μ‘Έμ—…μ‹œν—˜μ„ μœ„ν•΄ λ‹€μ‹œ 곡뢀 μ€‘μž…λ‹ˆλ‹€...



- [Taylor Series & Macluarin Series]({{"/2022/10/29/talyor-series-and-maclaurin-series" | relative_url}})
4 changes: 2 additions & 2 deletions _pages/main/mathematics.md
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'κ³΅λŒ€μƒμ΄λΌλ©΄! μ„ ν˜•λŒ€μˆ˜, 미뢄방정식, λ³΅μ†Œν•¨μˆ˜λ‘ , μ΄μ‚°μˆ˜ν•™ μ •λ„λŠ” 듀어야지!'λΌλŠ” 생각(~~κΌ°λŒ€..?~~)으둜 μˆ˜ν•™κ³Ό κ³Όλͺ©λ“€μ„ λ“€μ—ˆμŠ΅λ‹ˆλ‹€. κ·Έλ ‡κ²Œ μˆ˜ν•™κ³Όλ₯Ό 볡수 μ „κ³΅ν•˜λŠ” 컴곡과 학생이 λ˜μ—ˆμŠ΅λ‹ˆλ‹€ πŸ˜΅β€πŸ’«

# [Calculus]({{"/categories/calculus" | relative_url}})
# [Calculus](https://bluehorn07.github.io/categories/calculus)

고등학ꡐ뢀터 AP μˆ˜μ—…μœΌλ‘œ κ³΅λΆ€ν–ˆλ˜ κ³Όλͺ©μž…λ‹ˆλ‹€. λŒ€ν•™μ—μ„œ λ°°μš°λŠ” λͺ¨λ“  μˆ˜ν•™μ˜ κΈ°μ΄ˆκ°€ λ˜λŠ” κ³Όλͺ©μœΌλ‘œ κΎΈμ€€νžˆ λ³΅μŠ΅ν•΄μ•Ό ν•˜λŠ” 것 κ°™μŠ΅λ‹ˆλ‹€ πŸš€
고등학ꡐ뢀터 AP μˆ˜μ—…μœΌλ‘œ κ³΅λΆ€ν–ˆλ˜ κ³Όλͺ©μž…λ‹ˆλ‹€. 덕뢄에 λŒ€ν•™κ΅ 1ν•™λ…„ λ•Œ 이수 인정 μ‹œν—˜μœΌλ‘œ 톡과 ν–ˆμ§€λ§Œ, κ·Έ 이후엔 미적을 μ œλŒ€λ‘œ 곡뢀λ₯Ό μ•ˆ ν–ˆμ–΄μ„œ... μ‘Έμ—… μ‹œν—˜ μ€€λΉ„ν•œλ‹€κ³  λ‹€μ‹œ μ²˜μŒλΆ€ν„° 곡뢀해보고 μžˆμŠ΅λ‹ˆλ‹€ 😒

<hr/>

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excerpt: "μ‹€λ³€μˆ˜ ν•¨μˆ˜ $f(x)$λ₯Ό λ‹€ν•­ ν•¨μˆ˜μ˜ λ©±κΈ‰μˆ˜λ‘œ ν‘œν˜„ν•˜κΈ°. $n$μ°¨ 근사λ₯Ό λ¬΄ν•œλ²ˆ μˆ˜ν–‰ν•œ 것과 κ°™λ‹€."
---

"미적뢄학” μˆ˜μ—…μ—μ„œ 배운 것과 κ³΅λΆ€ν•œ 것을 μ •λ¦¬ν•œ ν¬μŠ€νŠΈμž…λ‹ˆλ‹€. 전체 ν¬μŠ€νŠΈλŠ” [Calculus]({{"/category/calculus" | relative_url}}) νŽ˜μ΄μ§€μ—μ„œ ν™•μΈν•˜μ‹€ 수 μžˆμŠ΅λ‹ˆλ‹€ πŸ“

- ν•¨μˆ˜μ˜ λ©±κΈ‰μˆ˜ ν‘œν˜„
- Maclaurin Series
- Taylor Series
- Examples
- Why Taylor Series?

<hr/>
"미적뢄학” μˆ˜μ—…μ—μ„œ 배운 것과 κ³΅λΆ€ν•œ 것을 μ •λ¦¬ν•œ ν¬μŠ€νŠΈμž…λ‹ˆλ‹€. 전체 ν¬μŠ€νŠΈλŠ” [Calculus](https://bluehorn07.github.io/categories/calculus) νŽ˜μ΄μ§€μ—μ„œ ν™•μΈν•˜μ‹€ 수 μžˆμŠ΅λ‹ˆλ‹€ πŸ“
{: .notice--info}

# ν•¨μˆ˜μ˜ λ©±κΈ‰μˆ˜ ν‘œν˜„

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## Fractional Function

Fractional function $1 / (1-x)$에 λŒ€ν•œ ν…ŒμΌλŸ¬ κΈ‰μˆ˜λŠ” μ•„λž˜μ™€ κ°™λ‹€.
Fractional function $1 / (1-x)$에 λŒ€ν•œ 맀크둜린 κΈ‰μˆ˜λŠ” μ•„λž˜μ™€ κ°™λ‹€.

$$
\left(\frac{1}{1-x}\right)^{(n)} = n! \cdot \frac{1}{(1-x)^n}
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## Exponential Function

Exponential function $e^x$에 λŒ€ν•œ ν…ŒμΌλŸ¬ κΈ‰μˆ˜λŠ” μ•„λž˜μ™€ κ°™λ‹€.

$$
(e^x)' = e^x
$$

κ°€ 됨을 κΈ°μ–΅ν•˜μž.
Exponential function $e^x$에 λŒ€ν•œ ν…ŒμΌλŸ¬ κΈ‰μˆ˜λŠ” μ•„λž˜μ™€ κ°™λ‹€. μ΄λ•Œ, $(e^x)' = e^x$κ°€ 됨을 κΈ°μ–΅ν•˜μž.

<div class="notice" markdown="1">

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