3. Let f(x, y, z) = x² + yz, g(s, t) = (3s +st, s, t), and F(s, t) = (fog)(s, t). (a) Find and simplify Dg(s, t). (b) Find and simplify Df(g(s, t)). (c) Find and simplify DF(s, t).
3. Let f(x, y, z) = x² + yz, g(s, t) = (3s +st, s, t), and F(s, t) = (fog)(s, t). (a) Find and simplify Dg(s, t). (b) Find and simplify Df(g(s, t)). (c) Find and simplify DF(s, t).
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:3.
Let f(x, y, z) = x² + yz, g(s, t) = (3s + st, s, t), and F(s, t) =
(fog)(s, t).
(a) Find and simplify Dg(s, t).
(b) Find and simplify Df(g(s, t)).
(c) Find and simplify DF(s, t).
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