Find the second derivative
Now that you have the derivative of your objective function, you can calculate the second order derivative. You'll do so symbolically using sympy
.
The values for dc_dq
and q_opt
, and the objective function c
with the quantity variable q
from the previous exercise are available to you.
This exercise is part of the course
Introduction to Optimization in Python
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Find the second derivative
d2c_dq2 = ____
# Substitute the optimum into the second derivative
sol = ____(____)
print(f"The 2nd derivative at q_opt is: {sol}")