A form of this operation appearing in the exponent of the formula for the rotation operator is generalized by the Lie bracket. This operation plus the basis vectors times the Christoffel symbol equals a form of this operation used to define parallel transport. The square of the exterior form of this operation always equals zero. The covariant form of this operation appears in the geodesic equation. Schwarz's theorem, also known as (*) Clairaut's theorem, gives the conditions for when two forms of this operation commute. This operation is applied to each entry in the Jacobian matrix. The dot product of a unit vector with the gradient is the directional form of this operation. This operation applied to a parametric curve yields the tangent vector. For 10 points, what operation is the inverse of integration? ■END■
ANSWER: derivative [or differentiation; accept directional derivative; accept covariant derivative; accept exterior derivative; accept partial derivative; accept derivative with respect to space or spatial derivative; accept derivative with respect to time or time derivative]
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= Average correct buzz position