Question

what is difference between total and partial differentiation

Answer 1

Partial diffrentiation is when you calculate the derivative versus one variable assuming all the other variables remain constant

Answer 2

in total.... there u diffrniate with one variable.. while in partial 2 or more variables

Answer 3

if u want a physical example.. i have an excellent one

imagine u have a potential as a function of space in three dimensions

lets say V(x,y,z) = x + 2y + 3z

now you wanna find the electric field.. you are interested only in the X component of the electric field then u must know from your physics that

\[E = -\delta V/\delta x\]
and so you get -1 units

similarly if you want E in the direction of y you end with -2 and similarly -3 units in z..