Given the function below
$\displaystyle {f{{\left({x}\right)}}}={\sqrt[{{3}}]{{-{405}{x}^{{3}}+{1134}}}}$
Find the equation of the tangent line to the graph of the function at $\displaystyle {x}={1}$. Answer in $\displaystyle {m}{x}+{b}$ form.
$\displaystyle {L}{\left({x}\right)}=$Preview Question 6 Part 1 of 3  

Use the tangent line to approximate $\displaystyle {f{{\left({1.1}\right)}}}$.
$\displaystyle {L}{\left({1.1}\right)}=$

Compute the actual value of $\displaystyle {f{{\left({1.1}\right)}}}$. What is the error between the function value and the linear approximation?
Answer as a positive value only.
|error|$\displaystyle \approx$ (Approximate to at least 5 decimal places.)