Quotient Derivative and Minima Maxima

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Homework Help Overview

The original poster seeks assistance with finding the quotient derivative of a polynomial function and subsequently determining its minima and maxima. The function in question is W(z) = (4z + 9) / (2 - z).

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster has calculated the quotient derivative and is now asking for help with finding the minima and maxima. Another participant inquires about the general method for finding maxima and minima and suggests plotting the function for further insight.

Discussion Status

The discussion includes attempts to clarify the process of finding maxima and minima, with some participants providing suggestions for exploration, such as plotting the function. There is no explicit consensus on the next steps or methods to be used.

Contextual Notes

There is a note regarding the appropriate section for posting questions about derivatives, indicating a potential misunderstanding of forum guidelines.

zak100
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Homework Statement


Find out the quotient derivative i.e. the derivative of polynomial upon polynomial and then find the minima and maxima.[/B]

##W\left(z\right)=\frac{{4z+9}}{{2-z}}##

Homework Equations



##\left( \frac{f}{g} \right)' = \frac{f'\,g - f\,g'}{g^2}##

The Attempt at a Solution


##W'\left(z\right)=\frac{{4\left({2-z}\right)-\left({4z+9}\right)\left({-1}\right)}}{{{{\left({2-z}\right)}^2}}}##
##=\frac{{17}}{{{4-4z+z^2}}}##

I have found the quotient derivative. Some body please help me how to find the minima and maxima

Zulfi.
 
Last edited by a moderator:
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How does one normally find the maxima and minima? Also, try plotting this function and see what you get.
 
Thread moved. Questions about derivatives should be posted in the Calculus section, not in the Precalculus section.
 
Hi,
I can't find the thread.

Zulfi.
 
zak100 said:
Hi,
I can't find the thread.
The full title of the section is "Calculus & Beyond Homework."
 
zak100 said:
Hi,
I can't find the thread.

Zulfi.
You replied to it, so you have found it.
 
Hi,
I received an email that I got a reply from RPinPA . His reply is in my email but not here.

Zulfi.
 

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