I just got back my test, I am probably going to fail this class. I got a 20/60. Anyways it might be worth my time to continue and to review the test to see what I did wrong.
- In terms of definitions, what does it mean for f not to be differnetiable at a number in its domain, a? I put "It means that there is no derivative at f(a) either because it is not defined or it approaches infinity.
That was, like most of the test, wrong. What about that is incorrect? I am pretty stupid so it is entirely possible I don't know what a lot of those words actually mean.
3) Show that the graph of $f(x) = x^3 + 5x^2 + 9x + 17$ has no horizontal tangent line, by working with the derivative.
I have never seen a problem like this before and I have no idea how to solve it, I stated that the derivative of 17 is zero so that would be a horizontal tangent line, of course that is wrong. I don't need the answer to this, just how to solve it. I know the answer, just not the why.
6) $\displaystyle\lim\limits_{t\to0} \frac{\sin{2t}}{\tan{6t}}$
This was actually a homework problem I did a couple minuted before the test and somehow couldn't figure out on the test. Not sure why.
I guess that is all the questions I have, I got pretty much rest of the test wrong but I think I know what to do on those problems.