Finding the ratio of the fluxion of x using Newton's method

[BurtZ]

Homework Statement:

Find the ratio of the fluxion of x to the fluxion of 1/x using Newton's synthetic method of fluxions.

Relevant Equations:

None.

I was asked to find the ratio of the fluxion of x to the fluxion of 1/x using Newton's synthetic method of fluxions. I do not understand how to do this.

 

[BvU]

I believe you. But PF guidelines require you post your own attempt before assistance is allowwed.
So: what are we talking about ? What is a fluxion a la Newton (sounds like a recipe ) and how does one calculate it ?

$\$

 

[BurtZ]

I believe you. But PF guidelines require you post your own attempt before assistance is allowwed.
So: what are we talking about ? What is a fluxion a la Newton (sounds like a recipe ) and how does one calculate it ?

$\$

Thanks for your belief :)
A fluxion of the quantity x (which is dependent on time) is the speed at which speed increases.

Essentially it seems to be the derivative.