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derivative problem

Discussion in 'Questions and Answers' started by xDOLPHINSx, Dec 3, 2008.

  1. xDOLPHINSx

    xDOLPHINSx Season Ticket Holder Club Member

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    hey, this is a problem from my econ hw.

    I need to derive q= 20/(1+p) with respect to p. im just not quite sure how to handle the (1+p) part.

    I do know that when i derive q with respect to p in this equation, q= 20/p , that you can make the equation into q= 20p^-1 making it easy to do and getting an answer of -20(p^-2) .

    so can i do the first equation like the second one by taking q= 20(1+p)^-1 ? and the answer would be -20(1+p)^-2 . or does the 1 go away after you derive it, so the answer would just be 20/(p^2) ? or am i completely off?

    any help or incite would be appreciated
     
  2. Regan21286

    Regan21286 MCAT's, EMT's, AMCAS, ugh

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    It should be dp/dq = -20/((p+1)^2)

    So you're right here:

     
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  3. pennphinfan

    pennphinfan Stelin Canez Arcade Scorz

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    my derivative skills are shaky but i think you're on the right track.
    if you let (1+p) = r, then you have
    q= 20r^-1
    dq= -20r^-1dr

    and since r = p+1
    dr= 1

    so you'd have -20(1+p)^-2 a.k.a. -20/((1+p)^2)

    i think.
     
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  4. xDOLPHINSx

    xDOLPHINSx Season Ticket Holder Club Member

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    i'll go with that answer. thanks guys.
     
  5. Regan21286

    Regan21286 MCAT's, EMT's, AMCAS, ugh

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    No problem. I remember hating calculus in Econ classes. If you can use one, I'd highly recommend a TI-89. Does all the derivatives and integrals for you. Bit of a battery eater but it's worth it in my opinion. Saved my *** when I could use it.
     
  6. Stitches

    Stitches ThePhin's Biggest Killjoy Luxury Box

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    I could never use a graphical calculator in my 1st two calc classes at Toledo, then at Akron, I went through calc 2 through differential equations without a graphing calculator. I was the only person in chemical engineering in my grad class that didn't use one (I don't even know how, lol).
     

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