Calculus Derivatives, OMG!!!
That's it! I'm so damn frusterated I... I.. AHHH!!
So, it's 2:07am and I work in afew hours. I just finished my derivatives exam through online school and I got 100%. But that's not the point, the point is that there are still some questions that are ........ing me off. For instance:
The book says:
"Find the second derivative of: ((x^2)+1)^(1/2)"
Okay, "Simple", I think. I found the first derivative to be:
The book agrees with that answer, except for the second derivative. The book believes that the second derivative is ((x^2)+1)^(-3/2) which makes no sense at all. How is this possible? I tried using the Product Rule w/ Chain Rule which would normally go like this:
X = V
((x^2)+1)^(-1/2) = U
V ' = Derivative of V
U ' = Derivative of U
So now, my derivative should be:
(V ')(U) + (U ')(V) = 0
Which is quite long for me to type out, but anyways, I end up with an answer which should include X^2, but it doesn't. I'm frusterated, this makes no sense. Please help.