Derivative of the function $f(x) = |x+2|$ How can I get the equation of the derivative $f(x) = |x+2|$ ?

I have already graphed the original function $|x+2|$ and the derivative function, but I'm not sure how to find the derivative, the equation and if it is differentiable at any points. Question says that the answer can be piece wise. Steps and help would be greatly appreciated.
Use the fact that $|u|$ is $u$ if $u&gt;0$ and $-u$ if $u&lt;0$.  So when $x&gt;-2$ we have $f'(x)=(x+2)'=1$ and when $x&lt;-2$ we have $f'(x)=(-x-2)'=-1$.  $f'(-2)$ is undefined, which is easily seen using the limit definition.
if you need a formula for the derivative of $|x+2|$ it is $$\dfrac{x+2}{|x+2|}, x \neq -2.$$

the reason for this is $x + 2$ is $x + 2$ for $x &gt; -2$ so the derivative is $1.$
similarly, $|x+2| = -x - 2$ for $x &lt; -2.$ therefore the derivative is $-1$ for $x &lt; -2.$ that is the piecewise definition.