#### Answer

\[{y^,} = 12{x^{ - 4}}\]

#### Work Step by Step

\[\begin{gathered}
y = - 4{x^{ - 3}} \hfill \\
Find\,\,the\,\,derivative\, \hfill \\
{y^,} = \frac{d}{{dx}}\,\,\left[ { - 4{x^{ - 3}}} \right] \hfill \\
{y^,} = - 4\frac{d}{{dx}}\,\,\left[ {{x^{ - 3}}} \right] \hfill \\
Use\,\,the\,\,formula \hfill \\
\,\,\frac{d}{{dx}}\,\,\left[ {{x^n}} \right] = n{x^{n - 1}} \hfill \\
Then \hfill \\
{y^,} = - 4\,\left( { - 3} \right){x^{ - 3 - 1}} \hfill \\
Simplifying \hfill \\
{y^,} = 12{x^{ - 4}} \hfill \\
\end{gathered} \]