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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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-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.
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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