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I have a theoretical question, I am struggling to understand the meaning of differential. I know the formula, I read it all in the calculus textbook. I don't understand what is the meaning, maybe geometric interpretation and use.

In addition, I don't understand the difference between dz and

\[\Delta z\]

or between dx and

\[\Delta x\]

and same goes for y.

Oh, and I am talking about functions with two variables z=f(x,y)

(not that in 1 variable I do understand it)

if you can explain it in an understandable way I would appreciate it...

thanks !