Code written in matlab

1) Write a function to use the Newton method (with analytic derivative) to obtain the root for the following two functions:

f(t) = tan (t) t [with x0 = 7] g(t) = exp (t) sqrt(t + 9) [with x0 = 2]

Where x0 is the starting guess. YOU MUST FIRST ATTEMPT THE STARTING GUESSES I PROVIDE. Print each iterate (xi) and its accompanying function value (f(xi)), then print the converged root (x) value. Require an error of less than 1e-6.

If the starting guess I give diverges (wink, wink), choose a new starting guess (x0 = 7.65 for the first one) and find the true root near the starting point. Explain what happened (why it diverged).

2) Rewrite your Newton code to use the Secant method. Use this method to find the roots again, using starting values of your choice.