welcome.
Meow.
Meow. |
You're older. More mature. Smarter. You have to be the bigger person. "I'd be...disappointed." What do you do when you're disappointed...but can't seem to bring yourself to do anything about it? I have the answer. Apparently it's eat a lot of raisins and pretend. And do Calculus. Calculus makes sense. There's not a whole lot of questioning associated with it. I do more math when I'm emotionally frustrated because it kind of...re-calibrates my brain. Yeah. The derivative of x^2 is still 2x and V=4/3pir^3 turns into dV/dt=3pir^2dr/dt in a related rates problem. If there's a hole in the parabola at x=2, there's still that limit of two, it just never gets there, but |x|/x only will have valid limits when coming from the right of the left. The first derivative test shows increasing and decreasing slopes, so if you have critical numbers you can find local maxes or mins. The second derivative test does this two, but also shows concavity and is easier to work with if your original function is a polynomial. When deriving the product or quotient rules, you have to add a "ghost" f(x)g(x)-f(x)g(x) to get things to cancel correctly. The derivative of tanx=sec^2x. When you set the 2nd derivative equal to zero, you get potential inflection points. The first derivative of the position function is the velocity one, and the second represents acceleration. (a^3-b^3)=(a-b)(a^2+2ab+b^2). Probably. ...I don't know where it came from. I'm just going to sleep. Maybe there will be a delay. Maybe fall will come and everything will get better. ...wait a second. ...night. |
