NonConstants is an option for D which gives a list of objects to be taken to depend implicitly on the differentiation variables.

Partial differentiation operations. This gives ( ∂ ) / ( ∂x ) x^n. This gives the third derivative.

Constants is an option for Dt which gives a list of objects to be taken as constants.

Dt[f, x] gives the total derivative d f/d x. Dt[f] gives the total differential d f. Dt[f, {x, n}] gives the multiple derivative d^n f/d x^n. Dt[f, x_1, x_2, ...] gives d/d ...

D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...

Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...

Functions like Factor usually assume that all coefficients in the polynomials they produce must involve only rational numbers. But by setting the option Extension you can ...

When a differential system has a certain structure, it is advantageous if a numerical integration method preserves the structure. In certain situations it is useful to solve ...

IrreduciblePolynomialQ[poly] tests whether poly is an irreducible polynomial over the rationals. IrreduciblePolynomialQ[poly, Modulus -> p] tests whether poly is irreducible ...

Resultant[poly_1, poly_2, var] computes the resultant of the polynomials poly_1 and poly_2 with respect to the variable var. Resultant[poly_1, poly_2, var, Modulus -> p] ...