If I have a multivariable equation whose slope is always positive, say how do I demonstrate that the slope is always positive?
I imagine this involves partial derivatives but need some guidance.
Thanks
I don't understand your definition. The definiton I am familiar with says a function has positive slope iff for every injective curve a,b)\to \mathbb{R}^n" alt="c=(c^1,\cdots,c^n)a,b)\to \mathbb{R}^n" /> whose coordinate functions are increasing, the derivative of is positive. Is this what you want?
Hmmm, this definition is really cool-looking. But not understanding the half of it I will have to say I don't know if it's what I need or not.
It looks like I need to ruminate and clarify whatever it is I am trying to ask. So let's leave off here and maybe I'll post a clarified version of my question in a new thread.
Thanks a lot