```python
from sympy import *
```


```python
nmu, energy, xi, alpha, M = symbols("N_mu E xi alpha M", real=True, positive=True)
```


```python
nmu1 = (energy/xi)**(1 + log(alpha) / log(M))
```


```python
d = diff(nmu1, alpha); d
```




$\displaystyle \frac{\left(\frac{E}{\xi}\right)^{1 + \frac{\log{\left(\alpha \right)}}{\log{\left(M \right)}}} \log{\left(\frac{E}{\xi} \right)}}{\alpha \log{\left(M \right)}}$




```python
d.subs(nmu1, nmu)
```




$\displaystyle \frac{N_{\mu} \log{\left(\frac{E}{\xi} \right)}}{\alpha \log{\left(M \right)}}$




```python

```

ipynb
63839d1f8506abb3a6cd0431103ad22687d733fa
Jupyter Notebook
2022-03-01T05:53:21.000Z
2020-05-16T14:35:06.000Z
a3070c10c6ca2a9c4b24eb89cba5ec5518e085dd
MIT
HDembinski/essays
Heilter model, influence of alpha.ipynb
a3070c10c6ca2a9c4b24eb89cba5ec5518e085dd
2022-01-25T02:01:34.000Z
2020-04-08T11:31:52.000Z
MIT
HDembinski/essays
Heilter model, influence of alpha.ipynb
a3070c10c6ca2a9c4b24eb89cba5ec5518e085dd
MIT
HDembinski/essays
Heilter model, influence of alpha.ipynb
2022-03-04T18:09:31.000Z
2020-04-07T07:29:46.000Z