Let F(u, v) be a function of two variables. Let Fu(u, v) = G(u, v), and F„(u, v) = H (u, v). Find f'(x) for each of the following cases (your answers should be written in terms of G and H). (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then ƒ'(x) = (c) ƒ(x) = F(x,x): then _ƒ'(x) = (d) f(x) = F(6x, x5): then _f'(x) =
Let F(u, v) be a function of two variables. Let Fu(u, v) = G(u, v), and F„(u, v) = H (u, v). Find f'(x) for each of the following cases (your answers should be written in terms of G and H). (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then ƒ'(x) = (c) ƒ(x) = F(x,x): then _ƒ'(x) = (d) f(x) = F(6x, x5): then _f'(x) =
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:Let F(u, v) be a function of two variables. Let Fu(u, v) = G(u, v), and F„(u, v) = H(u, v). Find ƒ'(x) for
each of the following cases (your answers should be written in terms of G and H).
(a) f(x) = F(x, 2): then
f'(x) =
(b) f(x) = F(4, x): then
f'(x) =
(c) f(x)
f'(x) =
-
F(x,x): then
(d) f(x) = F(6x, x5): then
ƒ'(x) =
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