- #1
izabo
- 3
- 0
I understand from the equation:
[tex] df = {\frac{\partial f}{\partial x}} dx + {\frac{\partial f}{\partial y}} dy [/tex]
that: [itex] dx \neq \partial x [/itex].
I understand why [itex] df \neq \partial f [/itex]
([itex]df[/itex] is the change in f when the change in all the variables is infinitesimal, and [itex] \partial f [/itex] is the change in f when the change in one vriable is infinitesimal and the others are constant, right?).
but doesn't both [itex] dx [/itex] and [itex] \partial x [/itex] mean an infinitesimal change in x? if so, why aren't they equal? if not what do they mean?
[tex] df = {\frac{\partial f}{\partial x}} dx + {\frac{\partial f}{\partial y}} dy [/tex]
that: [itex] dx \neq \partial x [/itex].
I understand why [itex] df \neq \partial f [/itex]
([itex]df[/itex] is the change in f when the change in all the variables is infinitesimal, and [itex] \partial f [/itex] is the change in f when the change in one vriable is infinitesimal and the others are constant, right?).
but doesn't both [itex] dx [/itex] and [itex] \partial x [/itex] mean an infinitesimal change in x? if so, why aren't they equal? if not what do they mean?