Find the derivative of f : R³ → R² defined by f(x, y, z) = (-3x²y, e-3y-2:). The derivative f' : IR³ → R²x³ is defined by f' (x, y, z) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the derivative of f : R³ → R? defined by f(x, y, z) = (-3x²y, e3y-22). The derivative f' : R³ → R2x3 is defined by
f'(x, Y, z) =
Transcribed Image Text:Find the derivative of f : R³ → R? defined by f(x, y, z) = (-3x²y, e3y-22). The derivative f' : R³ → R2x3 is defined by f'(x, Y, z) =
-4 -3
Consider a function f : R? → R? for which f(-1,3) = (5,9) and f' (-1,3)
The local linearization of f at (-1, 3) is
3
-5
L(r, y) =(
).
Transcribed Image Text:-4 -3 Consider a function f : R? → R? for which f(-1,3) = (5,9) and f' (-1,3) The local linearization of f at (-1, 3) is 3 -5 L(r, y) =( ).
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