```python
from IPython.display import Image
from IPython.core.display import HTML 
from sympy import *
Image(url= "https://i.imgur.com/kvcC7at.png")
```









```python
L  = Function("L")
f = Function("f")
x,a, y = symbols('x a y')
L(x)
```




$\displaystyle L{\left(x \right)}$




```python
f = Eq(L(x) , f(a) + Derivative(f(a),a)*(x-a))
f
```




$\displaystyle L{\left(x \right)} = \left(- a + x\right) \frac{d}{d a} f{\left(a \right)} + f{\left(a \right)}$




```python
dfa = 4
fa = 76
a = 120
y = 116
print(f.rhs)
```

    (-a + x)*Derivative(f(a), a) + f(a)



```python
f = (-a + x)*dfa + fa
f

```




$\displaystyle 4 x - 404$




```python
f.subs(x,y)
```




$\displaystyle 60$




```python
Image(url= "https://i.imgur.com/wEWyASn.png")
```








01b4e0d5cf92874f5351643b62ccd699f2f9efcb
ipynb
Jupyter Notebook
Calculus_Homework/WWB15.6.ipynb
NSC9/Sample_of_Work
8f8160fbf0aa4fd514d4a5046668a194997aade6
MIT
Calculus_Homework/WWB15.6.ipynb
NSC9/Sample_of_Work
8f8160fbf0aa4fd514d4a5046668a194997aade6
MIT
Calculus_Homework/WWB15.6.ipynb
NSC9/Sample_of_Work
8f8160fbf0aa4fd514d4a5046668a194997aade6
MIT
Qwen/Qwen-72B
1. YES
2. YES