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

Establish the following rules for working with differentials (where denotes a constant and u and v are functions of x).

(a) de =0 (b) d(cu) = c đu (c) d(u + v) = du + dv (d) d(uv) - u dv + v du du-u dv - u dv (e) d (f) d(x

(a) de =0 (b) d(cu) = c đu (c) d(u + v) = du + dv (d) d(uv) - u dv + v du du-u dv - u dv (e) d (f) d(x

(a) de =0 (b) d(cu) = c u (c) d(u + v) = du + dv (d) d(uv) - u dv + v du du-u dv - u dv (e) d (f) d(x") = nx"-dx

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