Question: Let U C R be an open subset, and O E C*(U). Prove that the exterior derivative do satisfies do = Li=1 r' da'

Let U C R" be an open subset, and O E C*(U).

Let U C R" be an open subset, and O E C*(U). Prove that the exterior derivative do satisfies do = Li=1 r' da' e N'(U). in (Here, ', ..., " E C(U) denote the standard coordinate functions on U.)

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