See The D

Tuesday, July 12, 2005

Do what you must do

$ D \{ x^{(2x+3)} \} = (2x+3) x^{(2x+3)-1} = (2x+3) x^{(2x+2)} $ So, can you figure this one out? Anyone? Raise your hand, c'mon, it's easy! (If you can figure this out, stop reading this immediately, and go get a life, seriously.) I have no idea what that means up there, well, I have a vague idea, but not much at all. If you were given this problem on a piece of paper, how confident are you that you would do well? Speaking for myself and 99.9% of my 3 reader population, I'm going to go with "no confidence whatsoever". Well why do we have no confidence in ourselves? It's simple, we don't know logarithmic calculus. Without knowledge on this particular subject, we have no confidence in it. It's pretty logical don't you think? You're also wondering why I'm doing this. (It has a purpose, really!)
Recently, I was talking to someone about self confidence. She was wondering outloud why she had little of it, and I asked her a couple questions and made some suggestions based on the previous paragraph. (I said something yesterday in my Loneliness entry about people not liking themselves, having no self esteem, confidence.) She asked, "Do I like myself?" I wrote this to her, "You can't like yourself until you know who you are. The question that you should first ask is: "Do I know myself?"
How can you like yourself and have confidence in yourself if you don't even know you? In a world where we run around at a hundred miles an hour (I should have just typed 100 mph) to get things done and make money and move up into the world, we often have little time to ourselves. What precious free time we have is taken up by other things like tv, movies, other people, or myriad things to keep us occupied. And when loneliness is lurking around the corner, we often don't want that alone time. That alone time can be so valuable though, don't fear it. Get to know who you are, in every aspect. Know yourself well, spend some quality time with you.
During my stint in California, I had to take a good, long hard look at who I had become after an incident where I was almost run down by a car. I had become someone obsessed with money, power, and girls (being bluntly honest here, yikes.) and had lost my decency and integrity in that quest. I was living for full hands and an empty heart. I took time alone with myself and didn't like what I saw, but it was something that had to be done.

"Be who you would be; then do what you must do"

Though I have only recently heard this quote, it applies to what happened in every sense. Be who you would be. After realizing that I didn't like myself anymore, I wrote down what kind of qualities I wanted to have as a person. I wrote down who I wanted to be, and I got to know that person. Then do what you must do. From then on, I tried to make every decision as that person. No, this was not a betrayal of who I was, it was a reach for someone better. It took a LONG time, and there were people who doubted I could do it, and even felt pushed away by this change; but it needed to happen. In some ways I am still working through it, several years afterwards.
You can't like yourself until you know who you are. If you don't like what you see, then be who you would be; and do what you must do.

4 Comments:

  • So I must need help because I started to try and solve the problem...must be all that GRE studying! Anyway, I find myself wishing I could take just a little more time alone, but at the same time I'm afraid to stop. I'm afraid to take a step back and really evaluate the course I've chosen. What if I find out that this isn't where I really want to be? Or perhaps even more frightening, What if I don't know where I want to be at all? So I just continue on. I move forward day after day towards this abstract goal, wishing I could just stop and look around and at the same time too afraid to even so much as pause for a moment.

    -K

    By Anonymous Anonymous, at 1:53 PM  

  • Actually, I think the problem is in the first step. We can't treat this as an ordinary derivative by reducing the power by one and multiplying by the original power.

    So, first note that x^{2x+3} = e^{ln(x^{2x+3})} = e^{(2x+3)(ln x)}.

    Now you can use the rules you know for e and then the chain rule:
    D/Dx(e^{(2x+3)(ln x)}) = e^{(2x+3)(ln x)} * ((2x+3)(1/x) + ((ln x)*(2)). Now we can simplify a little to get:
    x^{2x+3}({2+(3/x)} + 2*lnx)

    Oh... wait, um, I'm a math geek, so this example doesn't apply to me. But, as someone who tutors people with math phobia I will agree completely with the basic comment you've expressed here. Without knowledge of this language you can't be expected to succeed in deciphering the language.

    What boggles me about math's reputation is that people feel like it is just an inborn talent instead of something that one practices like a foreign language or an athletic endeavor.

    Seguing back to the real topic, I think one also needs to practice knowing one's self rather than only paying attention to a reputation of yourself -- that is to say, the impression of the outside world.

    By Blogger Hypatia, at 3:47 PM  

  • I agree that you need to know oneself rather than your reputation or the world's view of you. Knowing yourself leads to being confident though, which will in turn change the world's view.

    By Blogger The D, at 4:05 PM  

  • Yes, I very much agree that knowing ones self leads to confidence. I guess what I meant to convey was that many people, when they don't know themselves, operate as though external opinions are the "true self." When they cast off those opinions and know themselves then the confidence comes.

    Does it really matter what the world's opinion is?

    By Blogger Hypatia, at 4:19 PM  

Post a Comment

<< Home