# Quotient Derivative and Minima Maxima

## 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:

kuruman
Homework Helper
Gold Member
2021 Award
How does one normally find the maxima and minima? Also, try plotting this function and see what you get.

Mark44
Mentor
Thread moved. Questions about derivatives should be posted in the Calculus section, not in the Precalculus section.

Hi,

Zulfi.

Mark44
Mentor
Hi,
The full title of the section is "Calculus & Beyond Homework."

kuruman
Homework Helper
Gold Member
2021 Award
Hi,