Real Analysis If both f.9:[a, b] -> R functions ahe differentiable at a Point ce[a,b], then α (f+9) the real function is also differentiable at a Point c for each dER . b) If It was fER (a, b), then
Real Analysis If both f.9:[a, b] -> R functions ahe differentiable at a Point ce[a,b], then α (f+9) the real function is also differentiable at a Point c for each dER . b) If It was fER (a, b), then
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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Real Analysis
If both f,9:[a,b] => IR functions
ahe differentiable at a Point
CE[a,b], then a (f+9) the real function
is also differentiable at a Point c
for each dER .
b) If it was fem (a, b), then
afeR (a, b) for each do
C) If it was f real function of R
Condition check:
(Veber, FLEIR, If(a)-f(b)| ≤ Lla-bl) |
then f Connected on
d) If it was f9:D-R functions
Connected on the DCR So Prove
that a(f-g) continuous function
on the set D for each αEIR.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e598bbf-2d35-4afb-a9bb-7e240f86d153%2Fff81185b-9c01-4cef-bc39-d0542c246857%2F5aor3lf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-Alpha]
Real Analysis
If both f,9:[a,b] => IR functions
ahe differentiable at a Point
CE[a,b], then a (f+9) the real function
is also differentiable at a Point c
for each dER .
b) If it was fem (a, b), then
afeR (a, b) for each do
C) If it was f real function of R
Condition check:
(Veber, FLEIR, If(a)-f(b)| ≤ Lla-bl) |
then f Connected on
d) If it was f9:D-R functions
Connected on the DCR So Prove
that a(f-g) continuous function
on the set D for each αEIR.
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