Let f:R' -R' be a mapping given by f(x,y.z) = (u(x,y, z), v(x, y.z), w(x, y. z)). Let g: R -R' be defined by g(u, v. w) = (u - w,v + w, u + v) and let h = g- f. Write a formula for the derivative h'(x, y,2).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f:R' -R' be a mapping given by f(x.y.z) = (u(x.y,2), v(x, y.z), w(x, y, z)). Let
g: -R' be defined by g(u, v, w) = (u - w,v + w, u + v) and let h = g f. Write a
formula for the derivative h'(x, y.z).
Transcribed Image Text:Let f:R' -R' be a mapping given by f(x.y.z) = (u(x.y,2), v(x, y.z), w(x, y, z)). Let g: -R' be defined by g(u, v, w) = (u - w,v + w, u + v) and let h = g f. Write a formula for the derivative h'(x, y.z).
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