Why does the concept of a derivative of a polynomial remain useful when generalized to arbitrary fields?
116832
Appearance of Formal Derivative in Algebra
17440
Differentiation using first principles with rational powers
107290
proof of product rule of derivatives using first principle?
133424
Why do we make a distinction between derivatives and partial derivatives?
64608
Why does the higher order derivative test work?
90780
Why does implicit differentiation work on non-functions?
115712
Application of Derivatives rigorous proof
59165
Derivative of a linear transformation.
20280
Proving that expression is equivalent to the definition of derivative
973
Is the property "being a derivative" preserved under multiplication and composition?
138784
Is the differentiation operator an open mapping?
80295
Field extensions and algebraic/transcendental elements
60897
Non-integer order derivative
58490
Polynomials, finite fields and cardinality/dimension considerations
51612
Question About Notation In Field Theory $F(x)$ vs. $F[x]$
91059
Why is $\frac{d^n}{dx^n}(y(x))$ the notation for the $n$th derivative of $y(x)$, instead of $\frac{d^n}{d^nx}(y(x))$?
46254
Why can't the Polynomial Ring be a Field?