Write a MATLAB code to approximate the derivative of

$f(t)=\sqrt[\phantom{2}]{1+\frac{t^3}{1+e^{3t}}}$

on the interval $0t10$; Plot the derivative on that interval. Include the code as part of your solution.

Hint: consider when to use the element$-$wise operator when defining the function handle. See sample solution in the homework guidelines.

$2.$ Write code to approximate the integral ${\displaystyle \underset{0}{\overset{10}{}}}f(t)$ for the function from problem $(1)$ above. Include both code and output in your answer. See sample solution in the homework guidelines.