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
465
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
23,704
7,284
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
465
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
5,601
1,187
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.