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suneja

P= a - bN {(p-t)/wc}^1/1-z wer z>1 differentiate tis expression wrt ' t'

  • one year ago
  • one year ago

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  1. RadEn
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    too many variables there :)

    • one year ago
  2. suneja
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    dat the prob!! can u solve tis its profit maximizing level of output inclusive of tax...had to be weird..

    • one year ago
  3. suneja
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    |dw:1356073901037:dw|

    • one year ago
  4. Kainui
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    \[P=a-bN (\frac{ p-t }{ wc })^{(\frac{ 1 }{ 1-z })}\] differentiate with respect to t when z>1 right? I think we can do this.

    • one year ago
  5. suneja
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    @Kainui plz do

    • one year ago
  6. Kainui
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    It seems confusing but try to take it one bit at a time. Remember that all of these are essentially constants like the number 5, 23, or whatever. Give it your best shot and show me what you get.

    • one year ago
  7. Kainui
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    You should try splitting up the fraction within so that it's more easy to look at. I suggest trying to isolate "t" because everything else is just a constant and will lead to confusion.

    • one year ago
  8. suneja
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    i've tried n ... m getting tha same crap .. can u show me ur steps plz!!

    • one year ago
  9. shubhamsrg
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    i have never knows about taxes much,,just confirming.. we have to find DP/dt right ? given t is the only variable and all others are constants ?

    • one year ago
  10. shubhamsrg
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    known*

    • one year ago
  11. suneja
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    @shubhamsrg dats rite u dont need to knw abt taxes or nething its jst a typical expression!

    • one year ago
  12. Kainui
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    Alright I'll write out some steps because this is particularly confusing, give me a moment to make it clear in my description.

    • one year ago
  13. shubhamsrg
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    i see.. then check this please : |dw:1356074934050:dw|

    • one year ago
  14. suneja
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    dats exactly wat m getting but the soln given has a numerator and denomenator

    • one year ago
  15. shubhamsrg
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    whats the solution ?

    • one year ago
  16. Kainui
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    \[P=a-bN( \frac{ p-t }{ wc })^{\frac{ 1 }{ 1-z }}\] Now since everything else is constant, separate out the t into its own term to make it clear what we're differentiating: \[P=a-bN( \frac{ p }{ wc }-\frac{ t }{ wc })^{\frac{ 1 }{ 1-z }}\] Now from here you can take the derivative more simply by using the chain rule. You'll see that a goes to 0, since the derivative of any constant is 0. We're doing this with respect to t. Now if you use the chain rule on the second part, let's consider a simpler looking expression: \[5(3-2t^2)^7\] this looks exactly like the second part of the problem, yes? When we use the chain rule we take the derivative of the outside and multiply it by the derivative of the inside like this: \[35(3-2t^2)^6* (-4t)\] You must do the same thing here.

    • one year ago
  17. Kainui
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    That looks like what I got too, I even simplified it down to the same exact thing as you.

    • one year ago
  18. suneja
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    hey m sorry but there is minor change in ques... instead of w its z m sorry guy n lemme post dat ans for

    • one year ago
  19. Kainui
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    Not much will change, suneja since both are constants.

    • one year ago
  20. shubhamsrg
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    yep..exactly!

    • one year ago
  21. Kainui
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    Don't get caught up in looking at them as letters. Do the exact same thing you would do as if they were just any other constant number.

    • one year ago
  22. suneja
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    |dw:1356075429814:dw|

    • one year ago
  23. suneja
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    @shubhamsrg @Kainui this is the ans .... i got the same ans as u guys now can u guys show me how did they get tis one and mind u its NOT WRONG ANS as its has economic interpretation attached

    • one year ago
  24. Kainui
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    Hmm well what's the economic interpretation? I suppose the only difference is just some algebraic manipulation?

    • one year ago
  25. suneja
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    here denum is = 1+numerator so dp/dt <1

    • one year ago
  26. Kainui
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    So wait, you have to get it in the same form as this? I'm not sure I understand what you want here.

    • one year ago
  27. suneja
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    @Kainui jst dP/dt dat et

    • one year ago
  28. Kainui
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    I think you got it.

    • one year ago
  29. suneja
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    guys thanks for ur tym n effort... but i guess i'l hav to figure it out maslf!!

    • one year ago
  30. Kainui
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    Good luck!

    • one year ago
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