Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. a) suppose f:r → r is differentiable on r.

a) Suppose f:R → R is differentiable on R. Prove that if f ' is bounded...

70.2K

Verified Solution

Question

Advance Math

a) Suppose f:R → R is differentiable on R. Prove that if f ' isbounded on R then f is uniformly continuous on R.
b) Show that g(x) = (sin(x4))/(1 + x2) isuniformly continuous on R.
c) Show that the derivative g'(x) is not bounded on R.

Answer & Explanation Solved by verified expert
3.7 Ratings (378 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

1) A project has the following information. Price is $62 per unit, variable cost is $41...

Medical Sciences
1.2K views

When we study the effects of chronic stress on human health, most of our chronic stress...

Psychology
1.2K views

two major ethical concerns of research, deception and differential distribution of benefits. Explain these concerns and what...

Accounting
1.2K views

Larkspur, Inc. uses a periodic inventory system and reports the following for the month of June. Date Explanation Units Unit...

Physics
1.2K views

2 Two spheres of radii R and R having equal charges are joined together with...

Physics
1.2K views

A block A of mass m rests on a horizontal table A light string connected...

Geometry
1.2K views

If a spinner with the digits 1 6 is spun the probability of spinning a...

Statistics
1.2K views

12 Suppose a simple random sample of size 36 is selected from a population of...

Algebra
1.2K views

An article included data from a survey of 1 015 hiring managers and human resource...

Accounting
1.2K views

Payback, Accounting Rate of Return, Net Present Value, Internal Rate of Return Follow the format...

Accounting
1.2K views

Un incendio ha destruido un gran porcentaje de los registros financieros de la empresa Excandesco....

Accounting
1.2K views

a) Explain whether the directors of a public company can remove one of their colleagues...