Find the derivative of the function $f(x)=\sqrt[\phantom{2}]{x-6}$ using the limit definition of the derivative.

Provide your answer below:

$f^{\text{'}}(x)=$

$7,8$

$9$

x

$y$

$x^2$

$\sqrt[\phantom{2}]{}$

$4$

$5$

$6$

x

$.$

$x$

x

$$