Question: Establish the following rules for working with differentials (where denotes a constant and u and v are functions of x). (a) dc = 0 (b)

Establish the following rules for working with differentials (where denotes a constant and u and v are functions of x).
(a) dc = 0
(b) d(cu) = c du
(c) d(u +v) = du + dv
(d) d((uv) u dv + v du
(e) d(u/v) = v du- u dv/v2
(f) d(xn) = nxn-1 dx

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