For the function $f(x)=se{c}^3(e^x)$ :

How many different functions are composed to get $f(x)?$ What are they?

Find $f^{\text{'}}(x),$ showing your process. $($It$\text{'}$s okay to use the "work from outside$-$in$"$ method with the arrow dropdowns here instead of the decomposition, if that's easier here.$)$

How does knowing how many different functions are composed to get $f(x)$ help you check your work after finding $f^{\text{'}}(x)?$

Find $f^{(22)}(),$ for $f()=2cos(3),$ using pattern recognition. $($Don$\text{'}$t take $22$ derivatives!$)$ What process do you use to find the pattern?