# Differentiation help

• Jan 9th 2008, 01:50 AM
nugiboy
Differentiation help
Hi im a bit stuck on this question.

http://i137.photobucket.com/albums/q...tiger/Exam.jpg

Im fairly good at calculus and can integrate and differentiate etc, but i think its just the wording of the question. I don't really understand what it is asking me to do. Is it to do with making dy/dx < 0 or something? Could someone please explain?
• Jan 9th 2008, 02:14 AM
janvdl
Quote:

Originally Posted by nugiboy
Hi im a bit stuck on this question.

http://i137.photobucket.com/albums/q...tiger/Exam.jpg

Im fairly good at calculus and can integrate and differentiate etc, but i think its just the wording of the question. I don't really understand what it is asking me to do. Is it to do with making dy/dx < 0 or something? Could someone please explain?

I think they're asking for what values of x will y increase.

EDIT: So if that equation is the gradient, then that gradient must be greater than 0, to increase f(x)
• Jan 9th 2008, 02:20 AM
SengNee
Quote:

Originally Posted by nugiboy
Hi im a bit stuck on this question.

http://i137.photobucket.com/albums/q...tiger/Exam.jpg

Im fairly good at calculus and can integrate and differentiate etc, but i think its just the wording of the question. I don't really understand what it is asking me to do. Is it to do with making dy/dx < 0 or something? Could someone please explain?

dy/dx>0
x^2-6x>0
x(x-6)>0

x>0 , x>6

Therefore,
{x:x<0}U{x:x>6}

I not sure...:(:(:(:(
• Jan 9th 2008, 02:22 AM
janvdl
Quote:

Originally Posted by SengNee
I not sure...:(:(:(:(

I quite agree with that solution. :)
• Jan 9th 2008, 02:32 AM
SengNee
Quote:

Originally Posted by janvdl
I quite agree with that solution. :)

Thanks you.:):):):)