```python
from sympy import *
init_printing()
```


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


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


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


```python
roots = 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(latex(k))
k
```


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


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


```python

```

ce4f961f15ab98915c4e86ee036bbe3bb2394053
ipynb
Jupyter Notebook
P03-TaylorSeriesWarmUpA.ipynb
parduhne/PHYS_280
9890804b87fa23c3d53e826fde4a3b82430c875c
MIT
P03-TaylorSeriesWarmUpA.ipynb
parduhne/PHYS_280
9890804b87fa23c3d53e826fde4a3b82430c875c
MIT
2021-02-02T23:14:34.000Z
2021-03-20T05:46:23.000Z
P03-TaylorSeriesWarmUpA.ipynb
TejasAvinashShetty/sci-comp-notebooks
8ac7887a6c5da6fff8173febbc9a9968a81836af
MIT
Qwen/Qwen-72B
1. YES
2. YES