```python
%matplotlib notebook
from sympy import *
import numpy as np
import matplotlib.pyplot as plt
init_printing()
```


```python
var("x y t")
```


```python
f = x**3 - 3*x**2 - 24*x + 32
plot(f)
```


    <IPython.core.display.Javascript object>









    <sympy.plotting.plot.Plot at 0x1efcef01358>




```python
f = x**3 - 3*x**2 - 24*x + 32
df = f.diff()
ddf = df.diff()
df,ddf
```


```python
pc = solve(df)
pc
```


```python
f=x**2 + y**2
dfx = f.diff(x)
dfy = f.diff(y)

pc = solve( [dfx, dfy],[x,y])

dfx,dfy,pc
```


```python
dfxx = dfx.diff(x)
dfxy = dfx.diff(y)
dfyx = dfy.diff(x)
dfyy = dfy.diff(y)
D = dfxx * dfyy - dfxy
D.subs(pc),dfxx.subs(pc)
```


```python
!start .
```


```python

```

aae0e7f7ad2059b98b2572f2ca6d4d9fa78fb859
ipynb
Jupyter Notebook
Untitled.ipynb
MickyP11/Simulacion-Mate
fcb3a379173d4c21e046d12f4ddd72fb35c6e258
MIT
Untitled.ipynb
MickyP11/Simulacion-Mate
fcb3a379173d4c21e046d12f4ddd72fb35c6e258
MIT
Untitled.ipynb
MickyP11/Simulacion-Mate
fcb3a379173d4c21e046d12f4ddd72fb35c6e258
MIT
Qwen/Qwen-72B
1. YES
2. YES