Derivatives in Mathematica work essentially the same as in standard mathematics. The usual mathematical notation, however, often hides many details. To understand how ...

Dynamic[expr] represents an object that displays as the dynamically updated current value of expr. If the displayed form of Dynamic[expr] is interactively changed or edited, ...

ChebyshevT[n, x] gives the Chebyshev polynomial of the first kind T_n (x).

Hypergeometric2F1Regularized[a, b, c, z] is the regularized hypergeometric function \[Null]_2 F_1 (a, b; c; z)/\[CapitalGamma](c).

Block[{x, y, ...}, expr] specifies that expr is to be evaluated with local values for the symbols x, y, .... Block[{x = x_0, ...}, expr] defines initial local values for x, ...

Which[test_1, value_1, test_2, value_2, ...] evaluates each of the test_i in turn, returning the value of the value_i corresponding to the first one that yields True.

ArcCoth[z] gives the inverse hyperbolic cotangent coth -1 (z) of the complex number z.

EllipticExp[u, {a, b}] is the inverse for EllipticLog. It produces a list {x, y} such that u == EllipticLog[{x, y}, {a, b}].

Haversine[z] gives the haversine function hav(z).

Log10[x] gives the base-10 logarithm of x.