Can someone state the theorem of Differentials please? My textbook only gives the definition and not the theorem..

Question

accessdenied · Answer

What was the definition given?
I cannot think of any theorems about differentials, but maybe the definition provided will make it a bit more clear.

anonymous · Answer

okay, it says:
Let y=f(x) represent a function that is differentiable on an open interval containing x. The differential of x (denoted by dx) is any nonzero real number. The differential of y (denoted by dy) is; dy=f'(x)dx.

accessdenied · Answer

Hm.. what does this theorem you are looking for pertain to?  I do know how to show that is true through some Calculus work, but I don't think that is what you are asking for..

anonymous · Answer

I'm not quite sure.. All I'm given is; Differentials (state theorem and show example)

accessdenied · Answer

Weird.  Well, theorems can sometimes vary between classes.  I am tempted to say the theorem is something closely related to the definition like if y is differentiable over the open interval, then dy exists and is related to dx by dy = f' (x) dx,  I think you should bump the question and get some others' thoughts, though, since i can't say for sure really.  :x

anonymous · Answer

Thanks anyways though :)