# Math Help - Differentiation help

1. ## Differentiation help

Hi im a bit stuck on this question.

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?

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

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)

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

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...

4. Originally Posted by SengNee
I not sure...
I quite agree with that solution.

5. Originally Posted by janvdl
I quite agree with that solution.
Thanks you.