- (3.9)James Stewart Calculus 5th
- (10.3)James Stewart Calculus 5th
- (11.1)James Stewart Calculus 5th
- (10.5)James Stewart Calculus 5th
- (10.6)James Stewart Calculus 5th
- (10.2)James Stewart Calculus 5th
- (10.4)James Stewart Calculus 5th
- (11.2)James Stewart Calculus 5th
- (10.1)James Stewart Calculus 5th
- (8.4)James Stewart Calculus 5th
这个自己用的不太多,所以只是简单过一下
Hyperbolic Functions 双曲函数
双曲正弦,双曲余弦等 函数定义:
![](https://img.haomeiwen.com/i2800913/38698bcd2d8023fb.png)
对应的图像:
(单独的图像,好理解, 重合的,也就是对应y值的叠加)
![](https://img.haomeiwen.com/i2800913/9577a9942c359053.png)
![](https://img.haomeiwen.com/i2800913/213ccb6e8b65378d.png)
![](https://img.haomeiwen.com/i2800913/103ca43fae81bd95.png)
一些公式
证明过的公式
![](https://img.haomeiwen.com/i2800913/08b5645f284eb34e.png)
对应的导数
![](https://img.haomeiwen.com/i2800913/713579ec261cdfc1.png)
Inverse Hyperbolic Functions 反双曲函数
双曲函数的反函数
![](https://img.haomeiwen.com/i2800913/1324cedee280d33b.png)
对应的图像
![](https://img.haomeiwen.com/i2800913/42d3fad4a9a7110f.png)
![](https://img.haomeiwen.com/i2800913/0fe2c18038b72a16.png)
![](https://img.haomeiwen.com/i2800913/2441067f97f39974.png)
对应的公式
![](https://img.haomeiwen.com/i2800913/b8e41b1dd7ddf0ef.png)
对应反双曲函数的导数
![](https://img.haomeiwen.com/i2800913/2ca2811f4c017e8f.png)
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