3-1-errors-in-video

At about the …

… 22-minute mark, I lost a factor of 3, when adding the two fractions. Should be 8 – t – 3t = 8 – 4t in the numerator. That changes the answer, quite a bit.

… 25-minute mark. Same example. Another error. This time, I wrote and said “Max” when I should've written and said “Min,” when reporting (0, 0) and (8, 0) as absolute extremes (“extrema” is how you'll hear and see it, most places). Those two endpoints of the interval [0, 8] supply the lowest y-values.

… 34:30 mark. The “terrace point” would be at (0, 2) and not (0, 0). But I knew it had to be a terrace point and that there weren't any more “humps” in the graph, because I took the derivative and x = 0 was the 3^rd and last spot where the derivative was zero. For there to be a little valley, there, for a local min, there'd have be another little hill in order for it to turn back around and head down to the low spot at x = + 0.77. You might ponder and ask me about this, because it's a pretty cool concept for puzzling-out what things must look like...