Starting from nynewton write a well$-$commented function program nysymeuton that takes as its

input a symbolic function $f$ and the ordinary variables $x_0$ and $n.$ Let the program take the symbolic

derivative $f^{\text{'}}.$ You will need to use the command subs to obtain values of $f(x)$ and $f^{\text{'}}(x).$ Test it on

$f(x)=x^3-4$ starting with $x_0=2.$ Turn in the program and a brief summary of the results.

Find a complicated function in an engincering or science textbook or website. Make a well$-$commented

script program that defines a symbolic version of this function and takes its derivative and indefinite

integral symbolically $($if possible$).$ Plot the function on the domain that is relevant for the application.

In the comments of the script describe what the function is and properly reference where you got it$.$

Turn in your script and the plot.

Calculate all the partial derivative for the functions below. Do them by hand, then check them using

the symbolic toolbox.

$($a$)f(x,y)=\sqrt[\phantom{2}]{xy}+x^{2}si{n}^{2}y$

$($b$)g(u,v)=\frac{uv}{u+v}.$