Let (f (u, v,w) and (u = u(x, y, z), v = v(x, y, z), w = w(x, y, z) be differentiable functions) prove that grad(f) = Vf = fuVu + fVv + fww

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let (f (u, v,w) and (ü = u(x, y, z), v = v(x, y, z), w = w(x, y, z) be differentiable functions) prove that
grad(f) = Vf = fuVu + fVv + fww
Transcribed Image Text:Let (f (u, v,w) and (ü = u(x, y, z), v = v(x, y, z), w = w(x, y, z) be differentiable functions) prove that grad(f) = Vf = fuVu + fVv + fww
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