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

lovekblue Group Title

How many local max/ min does P(x) = x^57 + 7x^11 + 3x - 1000 has?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. ghazi Group Title
    Best Response
    You've already chosen the best response.
    Medals 4

    number of roots of first differentiation decides total number of minima and maxima , after one differentiation you will get highest order of 56 so it will have 56 roots and therefore total number is 56

    • 2 years ago
  2. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the answer is 0

    • 2 years ago
  3. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @ghazi answer is 0

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

    can you guess what could be the reason behind zero ?

    • 2 years ago
  5. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no.. something about (0, -1000)

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

    i am unable to think why it has answer zero , i don't think so , let me call my friend @mukushla buddy help

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

    @eliassaab sir, help

    • 2 years ago
  8. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    haha

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

    hello because P(x) is a strictly increasing function since\[P'(x)=57x^{56}+77x^{10}+3>0\]

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

    @lovekblue why are you laughing bro lol

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

    there you go @lovekblue

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

    @mukushla sorry forgot this

    • 2 years ago
  13. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    but P(x) starts from (0,-1000), wouldnt it cross 0 in some time?

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

    no, it would not it will tend to zero but won't cross zero

    • 2 years ago
  15. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how do u know o_o

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

    check out the definition that muku has mentioned above

    • 2 years ago
  17. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    but what he talks about is P'(x)

    • 2 years ago
  18. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    P'(x) is strictly increasing.. that doesnt help saying it wont cross 0...

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

    not P'(x) but P(x) is strictly increasing (why?) and P(x) is continous ...so there are no local Max or Min but there is a one root

    • 2 years ago
  20. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh right

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

    |dw:1352269291734:dw| think of something like this

    • 2 years ago
  22. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    dont know why i suddenly related root to max/min.. i get it now thanks!

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

    np :)

    • 2 years ago
  24. lovekblue Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks both of u :)

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

    :) special thanks to @mukushla

    • 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.