sympyappoutlier.py

import sympy as sp

def evaluate_derivative():
    # Define the variables
    u = sp.symbols('u')
    x = sp.symbols('x')

    # Define the outer function
    f_outer = sp.sin(u)

    # Calculate the derivative of the outer function
    f_outer_prime = sp.diff(f_outer, u)

    # Define the inner function
    g = sp.exp(x) - 2*x + 1

    # Calculate the derivative of the inner function
    g_prime = sp.diff(g, x)

    # Substitute g(x) into the derivative of the outer function
    f_prime = f_outer_prime.subs(u, g)

    # Multiply by the derivative of the inner function
    f_prime = f_prime * g_prime

    # Evaluate the derivative at x=1
    result = f_prime.subs(x, 1)

    return result

# Execute the function
result = evaluate_derivative()
print(result)