# Math Help - Critical Numbers

1. ## Critical Numbers

I need to know how to find the critical numbers of the function

g(t) = |3t-4|

I am new to the forum, but I would like your help, much appreciated.

2. Originally Posted by Kris Wit a K
I need to know how to find the critical numbers of the function

g(t) = |3t-4|

I am new to the forum, but I would like your help, much appreciated.
$g(t)=\begin{cases}
-3t+4 \mbox{ if } t \le \frac{4}{3} \\
3t-4 \mbox{ if } t > \frac{4}{3} \\
\end{cases}$

$g'(t)=\begin{cases}
-3 \mbox{ if } t < \frac{4}{3} \\
3 \mbox{ if } t > \frac{4}{3} \\
\end{cases}$

The only critical point is where the derivative is undefined, which is at 4/3.

3. Thank you so much, I was pretty sure that this was the solution, but I was not entirely sure. Homework being worth the most in my class stresses most importance. Thank you again.