A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

amyna

  • one year ago

Find the derivative: f(x)=ln (lnx) Help!! i don't know where to start!! Do i use product rule?

  • This Question is Closed
  1. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    you'll use the chain rule actually

  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    have you learned that rule?

  3. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1441070107450:dw|

  4. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1441070124683:dw|

  5. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1441070149590:dw|

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so f(x) = Ln(x) g(x) = Ln(x) h(x) = f(g(x)) = Ln(Ln(x))

  7. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    hopefully that helps?

  8. amyna
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can anyone show all the steps? I'm still a little confused...

  9. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    if we had f(x) = Ln(x), what would be the derivative?

  10. amyna
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1/x

  11. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, now what we do is replace the 'x' with Ln(x) |dw:1441070946608:dw|

  12. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    or put another way, we replace x with g(x) = Ln(x)

  13. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    and then we multiply by the derivative of the inside we multiply by g ' (x)

  14. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    g(x) = Ln(x) g ' (x) = 1/x |dw:1441071005586:dw|

  15. amyna
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok got it!! thanks so much!!

  16. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    here's a page with tons of chain rule practice problems https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/chainruledirectory/ChainRule.html they have detailed solutions to help explain and help you practice more

  17. amyna
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks! :)

  18. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    no problem

  19. 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.