Differentiate the function using one or more of the differentiation rules.

$y=(7+2x^3{)}^{13}$

$y$ can be represented as a composition of functions $f(g(x)),$ where $y=f(u)$ and $u=g(x).$ Identify the functions $g(x)$ and $f(u)$ that allow $y$ to be written as an expression raised to an exponent. $g(x)$ and $f(u)$ should be chosen such that neither will need to use the chain rule.

$g(x)=$

$f(u)=$

$($Type an expression using $x$ as the variable.$)$

$($Type an expression using $u$ as the variable.$)$

$y^{\text{'}}=$

$$