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Function of the Day: f(x)=e^x

Discussion in 'Off-Topic' started by tarnok, Feb 1, 2004.

  1. tarnok

    tarnok IncGamers Member

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    Function of the Day: f(x)=e^x

    This is something I plan to do with my students. Each day I'll post a _____ of the day on a small chalkboard to the side of the main one. Today it's a function. Tomorrow maybe a fruit. Whatever. It'll be something interesting and informative though, and sometimes just a little bit silly to keep them on their toes. I'd like to test them out here and see if people have anything to add or any suggestions for other _________s of the day.

    If the mods think that one of these a day counts as spam just let me know and I'll discontinue post-haste.

    So.

    f(x)=e^x

    This function, known as the exponential function, grows extremely rapidly. No, faster than that. To give you a rough idea of how fast it grows f(0)=1 while f(10) is over 22,000. Additionally e^x gets very small as x becomes more negative. It never actually reaches zero but it gets continually closer as x becomes more negative.
    Points of interest:
    f(-1)=1/e
    f(0)=1
    f(1)=e
     
  2. bc10068

    bc10068 IncGamers Member

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    geez.... i always wondered why there are so many smart people in DIABLO II -Otf forum...
    Everyone is just so.... professional
     
  3. masterazn

    masterazn Banned

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    tarnok, what level math is this?
     
  4. tarnok

    tarnok IncGamers Member

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    What posts have you been readin'?

    Masterazn: It's honors algebra III. This isn't the kind of thing that will be on a test though anyway. Many of them said that they were in this class to prepare for higher math and this is partly a way to expose them to things that will be important for them in the future.
     
  5. masterazn

    masterazn Banned

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    I take Algebra II/Trig :)

    I CAN DO THIS :p!!

    The answer is pi!
     
  6. Underseer

    Underseer IncGamers Member

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    More trivia:

    d/dx (e^x) = e^x

    Which in turn implies that the antiderivative is also e^x (+C of course). That makes this function mighty handy for simplifying things in higher math.

    (Gripe: why can't we use named entities on this board? The above would've looked so much better if I could've used ∂
     
  7. {KOW}Spazed

    {KOW}Spazed Banned

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    Well I have many odd facts just stored up for . . . I don't know why I just do!


    The worlds largest flower is the Stink Corpse Lily and it is three feet wide has seven petals and its leaves are a quarter of an inch thick. The flower blooms every three years and smells like rotting meat to attract flies.


    I have more things like that if you want. If you want more math related questions bust out the ninja-pirate questions. . . those where fun.
     
  8. superman22

    superman22 IncGamers Member

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    here is some calculus posts!!!

    the derivative of x^2 = 2x
    the anti-derivative of x is x^2/2

    then whats the derivative of lnx? 1/x of course!
    wats the derivative of e^x ? e^x!
    and the antiderivate of e^x? e^x silly!

    if the derivative of sinx = cosx
    then wats the derivative of cos x?

    -sinx !!!!!!!

    so heres a little quiz.... wats the derivative of x^3 + lnx -sinx ??
     
  9. FoolioMcTavish

    FoolioMcTavish IncGamers Member

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    I just learned all this in grade 12 calculus. This is easy.
     
  10. Corneo

    Corneo IncGamers Member

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    tidbit:
    e=1+1/1!+1/2!+1/3!+1/4!..+1/n! (n approaches inf.)
    e= lim(n->inf) (1+1/n)^n
    e=lim(n->0)(1+n)^(1/n)
     
  11. Underseer

    Underseer IncGamers Member

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    This thread would be so much better if we could use HTML and named entities.

    UBB is Satan's markup language! Down with UBB and this square bracket crap! *hoists protest sign*
     
  12. Corneo

    Corneo IncGamers Member

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    I'm not sure if this site enables LaTeX or not, if it did I would be able to bust out with some hardcore looking functions.
     
  13. Lone_C

    Lone_C IncGamers Member

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    Bah, beginning Calc is easy.

    3x^2 +1/x -cosx
     
  14. asdf

    asdf IncGamers Member

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    what's the integral of e^tan(x) ? i was never able to figure that one out... if there is an answer
     
  15. publius

    publius IncGamers Member

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  16. mouschi

    mouschi IncGamers Member

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    I hate you all strictly because looking at those things makes my head explode. Good thing college algebra is all I need to get my degree, I hope.
     
  17. Corneo

    Corneo IncGamers Member

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    Hey its got that Gabriel's horn aka Torricelli's trumpet on there!
     

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