Calculus

19 built-in function(s) in this category.

• Curl — Curl[{f1, f2}, {x1, x2}] (Stable)
• D — D[f, x] gives the partial derivative of f with respect to x. (Stable)
• DSolve — DSolve[eqn, y, x] solves a differential equation for the function y with (Stable)
• Derivative — f' represents the derivative of a function f of one argument. (Stable)
• DifferenceDelta — DifferenceDelta[f, i] gives the forward difference (f /. i -> i+1) - f, the discrete analogue of D. It is the left inverse of indefinite Sum. (Stable)
• Div — Div[{f1, ..., fn}, {x1, ..., xn}] (Stable)
• Dt — Dt[f] gives the total derivative of f. (Stable)
• FindRoot — FindRoot[f, {x, x0}] (Stable)
• Grad — Grad[f, {x1, ..., xn}] (Stable)
• Integrate — Integrate[f, x] gives the indefinite integral of f with respect to x. (Partial)
• Laplacian — Laplacian[f, {x1, ..., xn}] (Stable)
• Limit — Limit[f, x -> a] (Stable)
• Maximize — Maximize[f, x] (Stable)
• Minimize — Minimize[f, x] (Stable)
• PolynomialQuotientRemainder — PolynomialQuotientRemainder[p, q, x] returns {Quotient, Remainder} (Stable)
• Product — Product[f, {i, imax}] (Stable)
• Residue — Residue[f, {z, z0}] (Stable)
• SubresultantPolynomialRemainders — SubresultantPolynomialRemainders[a, b, x] gives the polynomial-remainder (Stable)
• Sum — Sum[f, {i, imax}] gives the sum of f for i from 1 to imax. Sum[f, {i, imin, imax}], Sum[f, {i, imin, imax, di}] and Sum[f, {i, {i1, i2, ...}}] use the standard iterator forms; multiple iterators give nested sums. Sum[f, i] gives the indefinite sum (antidifference). Symbolic and infinite sums are evaluated in closed form via Method -> "Polynomial" | "Geometric" | "Gosper". (Partial)