Using python, consider the following functions:

1. log(x)exp(x) using x₀ = 2
2. x³x3 using x₀ = 0
3. x³7x²+14x8 using x₀ = 1.1,1.2,...,1.9
4. log(x) exp(x) using x₀=2

1. Define the functions returning the function value fx at x and the value of the first derivative d_fx at x.
2. Use the Newton-Raphson method from the lecture and calculate the roots of the following functions.
3. Then check your answers using the bisection method.