Exercise: If f:T-R is differentiable at +ETX, prove that (f^)^(t) = (ff... +²^(t) = f^(t) = f*(+) (f^~^~²~² (+) for some nEN. * Here f²(t) = f(t) f(t) __ f(t). (ith power of f) i factors
Exercise: If f:T-R is differentiable at +ETX, prove that (f^)^(t) = (ff... +²^(t) = f^(t) = f*(+) (f^~^~²~² (+) for some nEN. * Here f²(t) = f(t) f(t) __ f(t). (ith power of f) i factors
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:Exercise: If f:T-R is differentiable at +ETX, prove
that
^-1
(f^₁² (t) = (f²f... f^²(t) = f^(t) = f*^²+) (f^)^~²~² (+)
kao
for some NEN.
* Here f(t) = f(t)f(t) __ f(t). (ith power of f)
i factors
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