Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ksaimouli

  • 2 years ago

use the 2nd derivative test to find the local extrema for the function

  • This Question is Closed
  1. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1352126604670:dw|

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

    @Aperogalics

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

    use the product rule

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

    i got that

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

    |dw:1352126927234:dw|

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

    set =0 and find critical points

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

    u got it wrong!!!

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

    !!!

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

    |dw:1352127080538:dw|

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

    |dw:1352127105772:dw|

  11. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[ \large y'=e^x+xe^x=(1+x)e^x \]

  12. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    dont factor the first one yet

  13. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so \[ \large y''=e^x+(1+x)e^x=(2+x)e^x \]

  14. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1352127282428:dw|

  15. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay after that

  16. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i dont get that part

  17. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    solve y'=0

  18. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is e^x=0

  19. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[ \large 0=y'=(1+x)e^x \]

  20. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so x=-1

  21. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait how did u get 1 it is (x+2)e^x right so e^x=0 (x+2)=0

  22. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no. u r looking for extrema.

  23. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i know i am finding the critical points by setting=0 and then using sign chart i will find it

  24. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes. the only critical point is x=-1

  25. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    u r using first derivative right

  26. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then \[ \large y''(-1)=(2+(-1))e^{-1}=(1)e^{-1}>0 \]

  27. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes i'm using the first derivative

  28. ksaimouli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but question asks for second derivative

  29. helder_edwin
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so y'' is positive when x=-1. what does this tell u??

  30. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.