Update 2024-03-01-数学学习.md

_posts/2024-03-01-数学学习.md

@@ -130,3 +130,47 @@ $\forall x \exist x$
 
 ![image-20240312182050232](img/2024-03-01-%E6%95%B0%E5%AD%A6%E5%AD%A6%E4%B9%A0/image-20240312182050232.png)
 
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+单变量微积分
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+---
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+$v = x^x$ 导数
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+ln v = x ln x ; 
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+(ln v)' = ln x + x * 1/x
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+v'/v = 1 + ln x
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+v' = v (1 + ln x)将v=x^x代入
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+$dx^x/dx = x^x (1 + ln x)$
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+---
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+$\lim_{n \to \infty} (1 + \frac{1}{n})^n$
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