The total productivity, $\displaystyle {P}$ of a worker with a robot helpers is a function of the number of robot helpers, $\displaystyle {x}$. Suppose for a certain factory that the total productivity of $\displaystyle {x}$ robot helpers is given by

$\displaystyle {P}={15}{\left({4}{x}+{6}\right)}^{{{4}}}-{5}$

Find the marginal productivity.

$\displaystyle \frac{{{d}{P}}}{{{\left.{d}{x}\right.}}}=$ Preview Question 6