# 微積分の計算について  No.３　　　問題と解答

#### 学籍番号[＿＿＿＿＿＿＿＿＿]クラス[＿＿＿＿＿]　クラス番号[＿＿＿＿＿] 名前[＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿]


```python
from sympy import *
x, n , y, a = symbols('x n y a')
init_printing()
```


```python
expr = sin(log(x**2+1))
deriv = Derivative(expr,x,1)
print( 'No.11')
deriv
```


```python
deriv.doit()
```


```python
expr = 1/sin(sqrt(x))
deriv = Derivative(expr,x,1)
print( 'No.12')
deriv
```


```python
deriv.doit()
```


```python
expr = sqrt((x**2-1)/(x**2+1))
deriv = Derivative(expr,x,1)
print( 'No.13')
deriv
```


```python
simplify(deriv.doit())
```


```python
expr = log(tan(x))
deriv = Derivative(expr,x,1)
print( 'No.14')
deriv
```


```python
simplify(deriv.doit())
```


```python
expr = x**x
deriv = Derivative(expr,x,1)
print( 'No.15')
deriv
```


```python
deriv.doit()
```


```python
expr =x**x**x
deriv = Derivative(expr,x,1)
print( 'No.16')
deriv
#deriv.doit()
```


```python
deriv.doit()
```


```python
expr = asin(x**3)
deriv = Derivative(expr,x,1)
print( 'No.17')
deriv
```

$$ \frac{d}{dx}\sin^{-1}(x^3) $$


```python
simplify(deriv.doit())
```


```python
expr = (1+x**2)*atan(x)
deriv = Derivative(expr,x,1)
print( 'No.18')
deriv
```

$$ \frac{d}{dx} ((x^2 +1 )\tan^{-1}(x) )$$


```python
simplify(deriv.doit())
```

$$ 2x\tan^{-1}(x)+1 $$


```python
expr = (1/a)*atan(x/a)
deriv = Derivative(expr,x,1)
print( 'No.19')
deriv
```

$$ \frac{d}{dx} ( \frac{1}{a}\tan^{-1}(\frac{x}{a}) )$$


```python

```


```python

```

8e70cf0a6501192aa255f0cb4e5ec7c193fd1dd7
ipynb
Jupyter Notebook
02_02181003taka_biseki-3-Ex-ans.ipynb
kt-pro-git-1/Calculus_Differential_Equation-public
d5deaf117e6841c4f6ceb53bc80b020220fd4814
MIT
2019-07-10T11:33:18.000Z
2019-07-10T11:33:18.000Z
02_02181003taka_biseki-3-Ex-ans.ipynb
kt-pro-git-1/Calculus_Differential_Equation-public
d5deaf117e6841c4f6ceb53bc80b020220fd4814
MIT
02_02181003taka_biseki-3-Ex-ans.ipynb
kt-pro-git-1/Calculus_Differential_Equation-public
d5deaf117e6841c4f6ceb53bc80b020220fd4814
MIT
Qwen/Qwen-72B
1. YES
2. YES