```python
import sympy as sp
sp.init_printing()
```


```python
Uo,x,s=sp.symbols('Uo x s', real=True)
```


```python
U=Uo*((s/x)**12-(s/x)**6)
U
```


```python
Up=U.diff(x)
Up
```


```python
roots = sp.solve(Up,x)
roots
```


```python
x0=roots[1]
print(x0)
x0
```


```python
Um=U.subs(x,x0)
print(Um)
Um
```


```python
Upp=Up.diff(x)
Upp
```


```python
k=Upp.subs(x,x0)
print(k)
print(sp.latex(k))
k
```


```python
m=sp.symbols("m")
```


```python
omega=sp.sqrt(k/m)
omega
```


```python

```

9c7b2bb58ad9d1a795a0c5d042d45122526c7866
ipynb
Jupyter Notebook
P03-TaylorSeriesWarmUpA.ipynb
sspickle/sci-comp-notebooks
c7f8afc087cc4013b5d13c698a96e5652a226dc3
MIT
2015-11-08T09:49:18.000Z
2021-08-09T16:07:51.000Z
P03-TaylorSeriesWarmUpA.ipynb
sspickle/sci-comp-notebooks
c7f8afc087cc4013b5d13c698a96e5652a226dc3
MIT
P03-TaylorSeriesWarmUpA.ipynb
sspickle/sci-comp-notebooks
c7f8afc087cc4013b5d13c698a96e5652a226dc3
MIT
2015-11-03T18:19:13.000Z
2022-01-26T20:15:30.000Z
Qwen/Qwen-72B
1. YES
2. YES