python-scipyHow can I use Python and SciPy to solve a Newton's method problem?

To solve a Newton's method problem using Python and SciPy, you can use the scipy.optimize module. This module offers an implementation of Newton's method, which can be used to find the roots of a given function. To use it, you must first define a function that returns the value of the function and its derivatives. For example:

def f(x):
  return x**3 - 2*x - 5

Then, you can call the scipy.optimize.newton function, passing in the function f and an initial guess for the solution:

from scipy.optimize import newton

root = newton(f, 2)
print(root)
# Output: 2.094551481542327

Code explanation

1. def f(x):: Define the function f with a single argument x.
2. return x**3 - 2*x - 5: Return the value of the function at x.
3. from scipy.optimize import newton: Import the newton function from the scipy.optimize module.
4. root = newton(f, 2): Call the newton function, passing in the function f and an initial guess for the solution 2.
5. print(root): Print the result of the newton function, which is the root of the function f.

Helpful links

• scipy.optimize.newton
• Newton's Method

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