The nabla formulas corresponding to the derivative rule of income are gVf+fVg, (Vf). F + f(V.F), (Vf) x F + ƒ(V × F). ▼(fg) V. (fF) V x (fF) = = = Justify the middle one (e.g. in the case of n = 3). Hint: The coordinate functions of the vector field fF are fF₁ etc
The nabla formulas corresponding to the derivative rule of income are gVf+fVg, (Vf). F + f(V.F), (Vf) x F + ƒ(V × F). ▼(fg) V. (fF) V x (fF) = = = Justify the middle one (e.g. in the case of n = 3). Hint: The coordinate functions of the vector field fF are fF₁ etc
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The nabla formulas corresponding to the derivative rule of income are
gVf+fVg,
(Vƒ). F + f(V.F),
(Vf) x F + f(V x F).
▼(fg)
V. (fF)
▼ x (fF)
=
=
=
Justify the middle one (e.g. in the case of n = 3).
Hint: The coordinate functions of the vector field fF are fF₁ etc
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