7. (Generalising the Code for Newton–Raphson)

a) In Section 5.6.2 we applied the Newton–Raphson method to find the solution of ex = 148.4131591. Generalise the code so that it works with any function of the correct signature:

// Function that maps a type to a tuple template using TupleFunctionTypeII

= std::function (const T& t)>;

b) Test the new code with several nonlinear functions.