juriemagic

Thank you Asinus...

uugghh!!....so my main error really was coming to the correct expression for the area, from there I could manage.....Thanx once again ElectricPavlov!

ElectricPavlov,

yes, I understand all that, I was just having trouble with understanding the difference between multiplying two functions to yield a specific outcome, and deviding those functions for a similar outcome....

Thank you ElectricPavlov...I will study that a bit closer....do appreciate..

Thank you kindly...just was not sure about the domain expressions..do appreciate.

Alan,

I'm sorry, no..I do not see what I should see there..

ElectricPavlov,

so then...there will be no difference between the answers of 

\(f(x).f'(x)<0 \)

and 

\({f(x) \over{f'(x)}}<0\)

because in both instances the criteria is the same...one equation must be negative or positive, while the other is positive or negative, respectively?

oh yes...off course..You know Melody....I am working through some grade 12 papers and a lot of things are starting to really open up and sink in..I simply cannot believe that things are not as difficult as they seem, it really is common sense in sooo many cases, but having said this, I really want to thank ALL of you guys who have remained patient throughout my silly questions, and in many cases having explained things more than once. I finally understand all of this now..

Thank you ElectricPavlov...

Melody..good morning,

Just to mention, the reason I looked at the 1st derivative as being one of the turning points, is that we do use the 1st derivitave also to calculate the x-coordinates of the turning points, by, once the derivitave is calculated, it is then factored to get the x-coordinates, and it was because of that, that I thought they gave us one of those turning points. but I will see it from now that they mean to supply us with gradient information....Thank you..