Prove that the function ax+b f(x)= cx+d is constant (takes the same value for every x such that cx+d ‡0) if and only if a b=0. (Hint: Find the derivative of ƒ(x).)
Prove that the function ax+b f(x)= cx+d is constant (takes the same value for every x such that cx+d ‡0) if and only if a b=0. (Hint: Find the derivative of ƒ(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:Prove that the function
ax+b
f(x)=
cx+d
is constant (takes the same value for every x such that cx+d #0) if and only if
(Hint: Find the derivative of f(x).)
a
с
|=0.
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