Originally Posted by

**wingz00** in algebra, definition of derivation is:

let R be ring or nearing or primering etc..

an additive mapping d:R\toR said to be derivation on R if d(xy)=d(x)y+yd(x)

additive mapping satisfy d(x+y)=d(x)+d(y)

for all x,y\inR

when i come with example, generaly given the commutator f(x)= ax-xa. of course that satisfy aditive mapping and derivation.

I want to make different example, and confuse with derivation in calculus, cause let f(x)= 2x^2+4, of course f'(x)=4x but f(x) doesn't satisfy additive maping nor derivation

is there any connection between them?

(**I think derivation in algebra similar to product rule in calculus**, but this make me more confused)