Given the function below

$f(x)=\sqrt[3]{128x^{3}384}$

Find the equation of the taneent line to the graph of the function at $x=1.$ Answer in max b form.

$L(x)=$

Use the tangent line to approximate $f(1\mathrm{.}1).$

$L(1\mathrm{.}1)=$

$$

Compute the actual value of $f(1\mathrm{.}1).$ What is the error between the function value and the linear approximation?

Answer as a positive value only.

$|$error$|$se $($Approximate to at least $5$ decimal places.$)$