How to find minima and maxima of polynomial upon polynomial

Discussion in 'Homework Help' started by zulfi100, Oct 4, 2018.

  1. zulfi100

    Thread Starter Active Member

    Jun 7, 2012
    464
    1
    Hi,
    I have got a fraction:

    (4z+9)/(2-z)

    I have found its derivative using derivative of quotient formula and I got
    17/(2-z)^2

    Now I have to find minima and maxima. I have to equate it zero
    This would give me:
    17=0.

    Some body please guide me, how to do it.

    Zulfi.
     
  2. WBahn

    Moderator

    Mar 31, 2012
    23,160
    6,973
    What needs to be true about a function in order for the minima/maxima to occur at the locations where the first derivative goes to zero?

    Think about WHY the first derivative going to zero yields a minima/maxima.

    Have you tried plotting it to see what it looks like? That should give you a huge clue as to where the problem with your approach lies.
     
  3. zulfi100

    Thread Starter Active Member

    Jun 7, 2012
    464
    1
    Hi,
    Its a one dimensional function, how to plot it? Along X -AXIS or Y-AXIS

    Zulfi.
     
  4. MrAl

    AAC Fanatic!

    Jun 17, 2014
    5,338
    1,148
    Hi,

    Is there such a thing?

    The equation is:
    y=(4z+9)/(2-z)

    Now you can plot it :)

    This is an interesting function because it does have interesting asymptotes which i am wondering if that is what you want to find.

    To get a good view of what this function really is, you could add 4 to the right hand side, then replace z with x+2 and then plot it or just look at it.
     
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