```python
import sympy as sp
```


```python
p, rho, K, rho0 = sp.symbols("p rho K rho0")
```


```python
sp.diff(K * rho**sp.Rational("5/3")*(1 - (rho0/rho)**sp.Rational("1/3")), rho).simplify()
```




$\displaystyle \frac{K \rho^{\frac{2}{3}} \left(5 - 4 \sqrt[3]{\frac{\rho_{0}}{\rho}}\right)}{3}$




```python

```

65708b28757019feaa49bd3b476a87fc5ad24aae
ipynb
Jupyter Notebook
Assignment-6/dpdrho.ipynb
md-arif-shaikh/Physics-Of-Compact-Objects
103617c8d6f02a03727ece5e6dce9dcfb8e9482d
MIT
Assignment-6/dpdrho.ipynb
md-arif-shaikh/Physics-Of-Compact-Objects
103617c8d6f02a03727ece5e6dce9dcfb8e9482d
MIT
Assignment-6/dpdrho.ipynb
md-arif-shaikh/Physics-Of-Compact-Objects
103617c8d6f02a03727ece5e6dce9dcfb8e9482d
MIT
2021-04-17T02:18:16.000Z
2021-04-17T02:18:16.000Z
Qwen/Qwen-72B
1. YES
2. YES