I am given a position equation
for t is greater than or equal to 0. I am asked to find the values of t where the speed is increasing.
If I'm correct, speed is the absolute value of velocity, which is the derivative of position. I got:


(not sure how to input absolute value symbol)
How do I know where the speed is increasing without plugging it into the calculator? To find where velocity increases, I found the zeros and then used a sign line, but I don't think that works for speed...or does it?