- #1
mnb96
- 715
- 5
Hello,
if I have the following unknown function [tex]f(x_1,\ldots,x_n)[/tex]
Assuming I am given all its partial derivatives [tex]\frac{\partial f}{\partial x_i}[/tex]
is it possible to get the original function f ?
This is clearly possible for a one-variable function f(x). If we know df/dx we just need to compute the indefinite integral, but what about functions with two or more variables?
if I have the following unknown function [tex]f(x_1,\ldots,x_n)[/tex]
Assuming I am given all its partial derivatives [tex]\frac{\partial f}{\partial x_i}[/tex]
is it possible to get the original function f ?
This is clearly possible for a one-variable function f(x). If we know df/dx we just need to compute the indefinite integral, but what about functions with two or more variables?