### 微積分の計算について  No.2  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 = symbols('x n y')
init_printing()
```


```python
expr = x**5-2*x**3+x+3
deriv = Derivative(expr,x,1)
print( 'No.1')
deriv
```


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


```python
expr = (x**2-3*x+1)*(x**2+1)
deriv = Derivative(expr,x,1)
print( 'No.2')
deriv
```


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


```python
expr = 1/(x**2+1)
deriv = Derivative(expr,x,1)
print( 'No.3')
deriv
```


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


```python
expr = (x**2+x+1)**4
deriv = Derivative(expr,x,1)
print( 'No.4')
deriv
```


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


```python
expr = cbrt(x**2-x+1)
deriv = Derivative(expr,x,1)
print( 'No.5')
deriv
```


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


```python
expr = sin(2*x+2)
deriv = Derivative(expr,x,1)
print( 'No.6')
deriv
```


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


```python
expr = sin(x)*cos(2*x)
deriv = Derivative(expr,x,1)
print( 'No.7')
deriv
```


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


```python
expr = 2**(3*x)
deriv = Derivative(expr,x,1)
print( 'No.8')
deriv
```


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


```python
expr = exp(x)*sin(x)
deriv = Derivative(expr,x,1)
print( 'No.9')
deriv
```


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


```python
expr = log(sqrt(x**2+1))
deriv = Derivative(expr,x,1)
print( 'No.10')
deriv
```

  
  
  
  


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


```python
expr =sqrt((x**2-1)/(x**2+1))
deriv = Derivative(expr,x,1)
print( 'No.11')
deriv
```


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


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


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


```python
expr = asin(x)
deriv = Derivative(expr,x,1)
print( 'No.13')
deriv
```

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


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


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

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


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


```python

```

60099a8d9d855f8e6f4f50098d8b73ab9ba0da31
ipynb
Jupyter Notebook
01_02181015-taka_biseki-2-3Ex&ans.ipynb
kt-pro-git-1/Calculus_Differential_Equation-public
d5deaf117e6841c4f6ceb53bc80b020220fd4814
MIT
2019-07-10T11:33:18.000Z
2019-07-10T11:33:18.000Z
01_02181015-taka_biseki-2-3Ex&ans.ipynb
kt-pro-git-1/Calculus_Differential_Equation-public
d5deaf117e6841c4f6ceb53bc80b020220fd4814
MIT
01_02181015-taka_biseki-2-3Ex&ans.ipynb
kt-pro-git-1/Calculus_Differential_Equation-public
d5deaf117e6841c4f6ceb53bc80b020220fd4814
MIT
Qwen/Qwen-72B
1. YES
2. YES