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feat: chain rule

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This commit is contained in:
Daniel Heras Quesada
2025-11-16 19:23:59 +01:00
parent 1fb7616c93
commit cb3915b405
2 changed files with 27 additions and 1 deletions
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17
src/main.py
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@@ -1,8 +1,10 @@
from sympy import diff, limit, oo, symbols
from modules.math import (
t_build_partial_derivate,
t_build_derivate,
t_build_derivative_from_limit,
t_build_partial_derivate,
t_calculate_derivative_limit,
t_calculate_e,
t_calculate_e_limit,
t_compound_interest,
@@ -37,4 +39,17 @@ if __name__=="__main__":
partial_derivative_y = t_build_partial_derivate((3 * y ** 3) + 2 * z ** 2, y)
partial_derivative_z = t_build_partial_derivate((3 * y ** 3) + 2 * z ** 2, z)
print(partial_derivative_y, partial_derivative_z)
print(t_build_derivative_from_limit(x ** 2))
print(t_calculate_derivative_limit(x ** 2, 2))
## Chain rule
# for a given function y (lets say y = x ** 2 + 1) and another z (lets say z = y ** 3 - 2), we can find a derivativeof z with respect to x by multiplying the derivatives
# normal derivative calc
x = symbols("x")
z = (x ** 2 + 1) ** 3 - 2
print(t_build_derivate(z))
# chain rule calc
x, y, z = symbols("x y z")
y_f = x ** 2 + 1
z_f = y ** 3 - 2
print(t_build_derivate(y_f), t_build_derivate(z_f))