Jump to content

EvoN1020v

Senior Members
  • Posts

    532
  • Joined

  • Last visited

Posts posted by EvoN1020v

  1. What I got at first was: [math]e^{ \frac{1}{x}} \cdot ln e \cdot \frac{-1}{x^2}[/math] according to the derivative rule: [math]a^u = a^u \cdot lna \cdot u'[/math].

     

    The answer produced was: [math]-\frac{e^{\frac{1}{x}}}{x^2}[/math], which apparently is the correct answer according to the integrator tool here at http://integrals.wolfram.com/index.jsp.

     

    In conclusion, the derivative of [math]e^{\frac{1}{x}}[/math] is [math]-\frac{e^{\frac{1}{x}}}{x^2}[/math].

     

     

    Sorry for all the confusion, Math89.

  2. My mistake. You don't have to use chain rule, because there's no other function in [math]\frac{1}{x}[/math].

     

    Rather you have to use logarithm differiaitation.

    I got the answer of [math]e^{\frac{1}{x}}(\frac{-lne}{x^2} + \frac{lne}{x})[/math].

     

    It might be wrong. What do you think?

    I have a question though. What is the derivative of [math]ln(e)[/math]? Because when they are together, they produce only [math]1[/math].

     

    So if the derivative of ln(e) is 1, then the answer would be: [math]e^{\frac{1}{x}}(\frac{-1}{x^2} + \frac{1}{x})[/math] or rather [math]e^{\frac{1}{x}}(\frac{-x+x^2}{x^3})[/math].

  3. I don't see why your daugther can't wear jewelry, because she won't get hurt from wearing it.

     

    I'm a Christian myself, and I still wear necklaces. In fact, I am wearing this necklace for two straight years without removing it because it is very valuable to me. My mom gave it to me for my sixteenth birthday.

     

    Maybe your wife is just a firm believer comparing to me.

  4. Yes, and did you read my post at all????? The man-made elements DO NOT COUNT when you are talking about the "rarest" of elements. This is because in all actuality they DO NOT EXIST!!!!! They only exist because man has made one just to say that he has. It does not make it rare at all since if you really wanted one, all you would need to do is go and make some more. As a result, it is completely unlimited and as such it is not rare at all. When you get into a discussion about "rare elements" you can only include those that naturally occur on earth. Please read the entire thread before you go around stating things as facts.

     

    Ah, understood. My apologies.

  5. How about this article from the January 2007 Discover Issue?

     

    Laser-Emitting chips Promise Ultrafast Computers by Curt Suplee

     

    Nothing is faster than light. So for decades engineers have tried to accelerate the pace of conventional, electricity-based computer chips by melding them with laser-based signal processors (like those used to send Internet data blazing through fiber-optic cables). In September researchers from Intel Corp. and the University of California at Santa Barbara announced they had found a promising way to achieve that long-sought goal.

     

    The corporate and university teams set out to develop a hybrid design that could handle both electricity and light. They bonded a thin layer of indium phospide, a compound that acts as a medium for the laser, onto sillicon sheets by exposing both materials to a blast of hot, electrically charged oxygen atoms; the indium phosphide was spiked with aluminum gallium indium arsendide to give it added speed. A microlayer of oxides then formed on the two surfaces, gluing them together. "We can make thousands of lasers with just one bond, as opposed to bonding each laser individually," says John Bowers of UC Santa Barbara, coinventor of the new device.

     

    When energized by electrical current, the bonded layer produces light that travels through channels in the sillicon to a "modulator" that flickers the light tens of billions of times per second. A couple dozen lasers switching at this speed could handle a trillion bits of information per second - more than 100 times as fast as current sillicon chips. What wonders will such power bring? For one thing, Bowers and his team say, by the end of the decade their new chips could make it possible to download a feature-length movie in just a few seconds.

     

    There is a picture of the new hybrid sillicon chips and there's a caption below and it says, "Sillicon-laser hybrid chips could make computers 100 times faster".

     

     

    This looks like a promising new technology for computers, eh?

×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.