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.
$\displaystyle g(t)=\begin{cases}
-3t+4 \mbox{ if } t \le \frac{4}{3} \\
3t-4 \mbox{ if } t > \frac{4}{3} \\
\end{cases}$
$\displaystyle g'(t)=\begin{cases}
-3 \mbox{ if } t < \frac{4}{3} \\
3 \mbox{ if } t > \frac{4}{3} \\
\end{cases}$
The only critical point is where the derivative is undefined, which is at 4/3.