Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

siddhantsharan Group Title

Missing something. Functions. Let f : R -> R be a function such that : f( (x+y) /3) = [f(x) + f(y)] /3 then: Is f(x) differentiable in R? Is it continous? Is f(x)/x differentiable?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Ishaan94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    f(x) = kx?

    • 2 years ago
  2. siddhantsharan Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I know. It seems like that. But apparently not. As in the answer it's NOT differenciable in R.

    • 2 years ago
  3. siddhantsharan Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh i missed some info. ** f(0) = 0 , f'(0) = 3

    • 2 years ago
  4. Ishaan94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    f(x)=3x

    • 2 years ago
  5. Ishaan94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    How is the function f(x)=kx not differentiable on/in R. Hmm \[\lim_{h \to 0} \frac{3(x+h) - 3x}{h}\]

    • 2 years ago
  6. Ishaan94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Am I doing something wrong?

    • 2 years ago
  7. siddhantsharan Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Did you differenciate-Put x=0---integrate? { To get the function} Or observe? :P-- That works here too . I got the same thing too. I dunno whats wrong.

    • 2 years ago
  8. Ishaan94 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    @KingGeorge

    • 2 years ago
  9. siddhantsharan Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh well. I guess the answer may be wrong then. All of us cant go wrong.

    • 2 years ago
  10. siddhantsharan Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks for Helping. :)

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.